number theorist names:S

1. Maria Sabitova
2. Mohamed Sadek
   • Models of genus one curves, PhD thesis, Mohamed Sadek, Cambridge University, 2010
3. Hatice Şahinoǧlu
4. Abhishek Saha
5. Brundaban Sahu
6. Freddy Saia
7. Artane Siad
8. Mohamed Saïdi
9. Anupam Saikia
   • The Bloch-Kato Conjecture for the Riemann Zeta Function, John Coates, A. Raghuram, Anupam Saikia, R. Sujatha, CUP 2015
10. Takeshi Saito
    • Autour des Motifs: Asian-French Summer School on Algebraic Geometry and Number Theory: Volume III, Takeshi Saito, Laurent Clozel, Jörg Wildehaus, Panoramas et Syntheses Vol. 49, AMS 2016
    • Fermat's Last Theorem: Basic Tools, Takeshi Saito, Translations of Mathematical Monographs, Iwanami Series in Modern Mathematics 243, November 2013
    • Number Theory 3: Iwasawa Theory and Modular Forms, Nobushige Kurokawa, Masato Kurihara, Takeshi Saito, Translations of Mathematical Monographs 242, AMS 2012
    • Number Theory 2: Introduction to Class Field Theory, Kazuya Kato, Nobushige Kurokawa, Takeshi Saito, Translations of Mathematical Monographs Vol 240, AMS 2011
    • Number Theory 1, Fermat's Dream, Kazuya Kato, Nobushige Kurokawa, Takeshi Saito, Translation of Mathematical Monographs, Vol. 186, AMS 2000
11. Yiannis Sakellaridis
    • The Langlands Program: The Set (Volumes I, II, and III), Ed. Pierre-Henri Chaudouard, Wee Teck Gan, Tasho Kaletha, Yiannis Sakellaridis, AMS, 2026
12. Sajad Salami
13. Daniel Barrera Salazar
14. Adriana Salerno
15. Vladislav Khasanovich Salikhov
16. Gabriel Villa Salvador
    • Topics in the Theory of Algebraic Function Fields, Gabriel Daniel Villa Salvador, Birkhäuser 2006
17. Riccardo Salvati Manni
18. Bruno Salvy
19. Detchat Samart
20. Charles Samuels
    • Auxiliary polynomials and height functions, PhD thesis, Charles Samuels, The University of Texas at Austin, 2007
21. J¨rgen Sander
    • Four Faces of Number Theory, Kathrin Bringmann, Yann Bugeaud, Titus Hilberdink, Jürgen Sander, EMS Publishing House, 2015
22. Tom Sanders
23. Csaba Sándor
24. József Sándor
    • Handbook of Number theory II, J. Sándor, B. Crstici, Kluwer 2004
    • Handbook of Number theory I, D.S. Mitrinovic, J. Sándor, B. Crstici, Kluwer 1995
25. Jonathan Sands
    • Stark's Conjectures: Recent Work and New Directions, Ed. David Burns, Christian Popescu, Jonathan Sands, David Solomon, Contemporary Mathematics 358, AMS 2004
26. Carlo Sanna
27. Takamichi Sano
    • Generalizations of Darmon's conjecture and the equivariant Tamagawa number conjecture, PhD thesis, Takamichi Sano, Keio University 2014
28. Yannick Saouter
29. Natarajan Saradha
    • Diophantine Equations, 2005 Mumbai conference in honour of T.N. Shorey, Ed: N. Saradha, Tata Institute of Fundamental Research, Mumbai, India , AMS 2007
30. Naser Talebizadeh Sardari
31. András Sárközy
32. Ritumoni Sarma
33. Peter Sarnak
    • Peter Sarnak, Winner of Wolf Prize in Mathematics - 2014
    • Some commentary on Atle Selberg's mathematics, Dennis Hejhal, Peter Sarnak
    • Automorphic Forms and Applications, Ed. Peter Sarnak, Freydoon Shahidi, AS/Park City Mathematics Series, 12, AMS, 2007
    • Henryk Iwaniec, Peter Sarnak and Richard Taylor receive the 7th Ostrowski Prize
    • Problems of the Millennium: The Riemann Hypothesis, Peter Sarnak, 2004
    • Selected Works of Ilya Piatetski-Shapiro, Ed. J. Cogdell, S. Gindikin, P. Sarnak. AMS Collected Works 15, 2000
    • Random Matrices, Frobenius Eigenvalues and Monodromy, N.M. Katz, P. Sarnak, AMS Colloquium Publications Vol 45 1999
    • Zeroes of zeta functions and symmetry, N.M. Katz, P. Sarnak, Bull. Amer. Math. Soc., 36 (1999) 1-26
    • Selberg's Eigenvalue Conjecture:, Peter Sarnak, Notices of the AMS, November 1995
    • The Riemann Zeta-Function, A.A. Karatsuba, S.M. Voronin, Translated by N. Koblitz, de Gruyter, 1992, Review, Peter Sarnak, Bulletin Volume 32 Issue 2, April 1995, pages 251-253
    • Some Applications of Modular Forms, P. Sarnak, Cambridge Tract 99, CUP 1990
34. Yoshitaka Sasaki
35. Fumihiro Sato
    • Automorphic forms and zeta functions: Proceedings of a Conference in Memory of Tsuneo Arakawa, Ed. Siegfried Böcherer, Tomoyoshi Ibukiyama, Masanobu Kaneko, Fumihiro Sato , World Scientific 2006
36. Nobuo Sato
37. Paul Savala
38. Diana Savin
39. David Savitt
    • Quadratic and Higher Degree Forms, Krishnaswami Alladi, Manjul Bhargava, Dave Savitt, Pham Huu Tiep, Developments in Mathematics, Vol. 31, Springer 2013
    • p-adic Geometry: Lectures from the 2007 Arizona Winter School, ed. David Savitt and Dinesh S. Thakur, University Lecture Series 45 September 2008
    • Modularity of some potentially Barsotti-Tate Galois representations, PhD. thesis, Dave Savitt, Harvard University 2001
40. Ben Savoie
41. Mehtaab Sawhney
42. Will Sawin
    • The distribution of prime polynomials over finite fields (joint work with Mark Shusterman), slides by Will Sawin
43. Edward Schaefer
44. Norbert Schappacher
    • Early history of the Riemann Hypothesis in positive characteristic, Franz Oort and Norbert Schappacher, ALM 35, Higher Education Press and International Press, 2016, pp. 595-631
    • El "outsider" de la teoría de los números. Vida y obra de Kurt Heegner (Norbert Schappacher)
    • The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae, (Ed.) Catherine Goldstein, Norbert Schappacher, Joachim Schwermer, Springer 2006
    • Regulators in Analysis, Geometry, and Number Theory, Ed. A. Reznikov, N. Schappacher, Birkhäuser 1999
    • Historical commentary on Hilbert's Zahlbericht, by Franz Lemmermeyer and Norbert Schappacher (ps file)
45. Victor Scharaschkin
    • Local -global problems and the Brauer -Manin obstruction, PhD thesis, Victor Scharaschkin, University of Michigan, 1999
46. Rudolf Scharlau
47. Renate Scheidler
    • WIN--Women in Numbers: Research Directions in Number Theory, Ed. Alina-Carmen Cojocaru, Rachel Pries, Renate Scheidler, Fields Institute Communications 60, AMS March 2011
48. Reinhard Schertz
    • Complex multiplication, Reinhard Schertz, New Mathematical Monographs (No. 15), CUP, 2010
49. Jordan Schettler
    • The Change in Lambda Invariants for Cyclic p-Extensions of Z_p-Fields, PhD thesis, Jordan Schettler, University of Arizona, 2012
50. Damaris Schindler
51. Oliver Schirokauer
52. Jan-Christoph Schlage-Puchta
53. Hans Peter Schlickewei
54. Johannes Schleischitz
55. Wolfgang Ch. Schmid
56. Alexander Schmidt
    • Cohomology of Number Fields, J. Neukirch, A. Schmidt, K. Wingberg, Grundlehren Series 323, Springer 2000
57. Bernhard Schmidt
58. Harry Schmidt
59. Ralf Schmidt
    • The Sato-Tate Conjecture (Julian Rosen and Ralf Schmidt)
60. Thomas Schmidt
61. Wolfgang Schmidt
    • Wikipedia article about Wolfgang Schmidt
    • Analytic Number Theory, Essays in Honour of Klaus Roth, Ed. William Chen, Timothy Gowers, Heini Halberstam, Wolfgang Schmidt, Robert Vaughan, CUP 2009
    • Equations over finite fields: an elementary approach, Second Edition, Wolfgang M. Schmidt, Kendrick Press 2003
    • Selecta, Edmund Hlawka, E. Hlawka, P.M. Gruber, W.M. Schmidt, Springer 1990
    • Equations over Finite Fields, W. Schmidt, LNM 536, Springer 1976
62. Susanne Schmitt
    • Elliptic Curves: A computational approach, Susanne Schmitt, Horst Zimmer, Studies in Mathematics 31, De Gruyter 2003
    • Berechnung der Mordell-Weil Gruppe parametrisierter elliptischer Kurven, Diploma Thesis, Susanne Schmitt, Universität des Saarlandes, 1995
    • Berechnung der Mordell-Weil Gruppe elliptischer Kurven über algebraischen Zahlkörpern, PhD Thesis, Susanne Schmitt, Universität des Saarlandes, 1999
63. Peter Schneider
    • Reciprocity laws for (ϕ_L, Γ_L)-modules over Lubin-Tate Extensions_n(K) for a p-adic field K, Ed. Peter Schneider, Otmar Venjakob, AMS, 2026
    • Rigid Character Groups, Lubin-Tate Theory, and (φ,Γ)-Modules, Laurent Berger, Peter Schneider, Bingyong Xie, Memoirs of the American Mathematical Society, Volume 1275, 2020
    • Galois Representations and (φ, Γ)-Modules, Peter Schneider, Cambridge Studies in Advanced Mathematics, CUP 2017
    • Noncommutative Iwasawa Main Conjectures over Totally Real Fields, Ed. John Coates, Peter Schneider, Sujatha Ramdorai, Otmar Venjakob, Springer Proceedings in Mathematics & Statistics, Vol. 29, 2013
    • A Collection of Manuscripts Written in Honour of John H. Coates on the Occasion of His Sixtieth Birthday, Ed. Ivan Fesenko, Stephen Lichtenbaum, Bernadette Perrin-Riou, Peter Schneider, Documenta Mathematica 4, 2006
64. Robert Schneider
65. Leila Schneps
    • Galois-Teichmüller Theory and Arithmetic Geometry, Ed: Hiroaki Nakamura, Florian Pop, Leila Schneps, Akio Tamagawa, Advanced Studies in Pure Mathematics: Volume 63, World Scientific, 2012
    • A review of the Grothendieck-Serre Correspondence, Leila Schneps
66. Claus-Peter Schnorr
67. Johannes Schoissengeier
68. Anthony Scholl
    • Galois Representations in Arithmetic Algebraic Geometry, Ed. A.J. Scholl, R.L. Taylor, LMS Lecture Notes 254, CUP 1998
69. Peter Scholze
    • Why abc is still a conjecture (Peter Scholze and Jacob Stix)
    • Titans of Mathematics Clash Over Epic Proof of ABC Conjecture (Qantamagazine, September 2018)
    • Berkeley Lectures on p-adic Geometry, Peter Scholze, Jared Weinstein, Annals of Mathematics Studies Volume 207, 2020
    • Perfectoid Spaces: Lectures from the 2017 Arizona Winter School, Editors and authors, Bryden Cais, Bhargav Bhatt, Ana Caraiani, Kiran S. Kedlaya, Peter Scholze, Jared Weinstein, AMS Mathematical Surveys and Monographs 242, 2019
70. Arnold Schönhage
71. René Schoof
    • Catalan's Conjecture, René Schoof, Universitext, Springer 2009
    • Number Fields and Function Fields: Two Parallel Worlds, Ed. Gerard van der Geer, Ben Moonen, René Schoof, Progress in Mathematics 239, Birkhäuser 2005
72. Éric Schost
73. Benjamin Schraen
    • Conjectures and results on modular representations of GL_n(K) for a p-adic field K, Ed. Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, Benjamin Schraen, AMS, 2026
74. Richard Schroeppel
75. Rainer Schulze-Pillot
    • Einführung in Algebra und Zahlentheorie, Rainer Schulze-Pillot, Springer-Lehrbuch, 2015
    • Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms, Wai Kiu Chan, Lenny Fukshansky, Rainer Schulze-Pillot, Jeffrey D. Vaaler, Contemporary Mathematics 587 AMS 2013
    • Quadratic Forms-Algebra, Arithmetic, and Geometry, Ed. Ricardo Baeza, Wai Kiu Chan, Detlev W. Hoffmann, Rainer Schulze-Pillot, Contemporary Mathematics 493, AMS 2009
76. Pete Schumer
    • Introduction to Number Theory, Peter D. Schumer, Brooks/Cole 1995
    • Mathematical Journeys, Pete Schumer, Wiley 2004 ISBN
77. Markus Schwagenscheidt
78. Andreas Schweizer
79. Fritz Schweiger
    • Multidimensional continued fractions, F. Schweiger, OUP 2000
    • Analytic and Probabilistic Methods in Number Theory, Volume 2, New Trends in Probability and Statistics, Edited by E. Manstavicius and F. Schweiger, VSP Science 1997
    • Ergodic theory of fibred systems and metric number theory, Fritz Schweiger, OUP 1995
80. Joachim Schwermer
    • Reduction Theory and Arithmetic Groups, Joachim Schwermer, CUP 2022
    • Emil Artin and Beyond - Class Field Theory and L-Functions, Della Dumbaugh and Joachim Schwermer, Heritage of European Mathematics, 9, 2015
    • Creating a life: Emil Artin in America, Della Dumbaugh and Joachim Schwermer, Bull. Amer. Math. Soc 50 (2013), 321-330
    • Minkowski in Königsberg 1884: A talk in Lindemann's colloquium, Joachim Schwermer, Bull. Amer. Math. Soc, 2010
    • The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae, (Ed.) Catherine Goldstein, Norbert Schappacher, Joachim Schwermer, Springer 2006
81. Eira Scourfield
82. Robert Sczech
83. Abdellah Sebbar
84. Alisa Sedunova
85. François Séguin
86. Kristian Seip
87. James Sellers
88. Shankar Sen
89. Mehmet Haluk Şengün
90. Soogil Seo
91. Vlad Serban
92. Jean-Pierre Serre
    • Rational Points on Curves Over Finite Fields, Jean-Pierre Serre, Documenta Mathématiques, Vol. 18, Société Mathématique de France 2020
    • Lectures on N_X(p), Jean-Pierre Serre, CRC Press 2011
    • Lectures on the Mordell-Weil Theorem, Jean-Pierre Serre, Aspects of Mathematics, Vol. 14, Springer,1997
    • Algebraic Groups and Class Fields, Jean-Pierre Serre, Springer Graduate text 117 (1988)
93. Sinan Sertöz
94. Marco Adamo Seveso
    • Heegner Points, Stark-Heegner Points, and Diagonal Classes, Massimo Bertolini, Henri Darmon, Victor Rotger, Marco Adamo Seveso, Rodolfo Venerucci, Astérisque Volume: 434, 2022
95. Pietro Sgobba
96. Min Sha
97. Nimish Shah
98. Freydoon Shahidi
    • The Genesis of the Langlands Program, Julia Mueller, Freydoon Shahidi, CUP 2022
    • Advances in the Theory of Automorphic Forms and their L-functions, Dihua Jiang, Freydoon Shahidi, David Soudry, Contemporary Mathematics, Volume 664, AMS 2016
    • Eisenstein Series and Automorphic L-Functions, Freydoon Shahidi, Colloquium Publications 68, 2010 (not yet published)
99. Besfort Shala
100. George Shakan
101. Ehud de Shalit
     • Perspectives in Mathematics Vol 3: The Iwasawa Theory of Elliptic Curves with Complex Multiplication, E. de Shalit, Academic Press 1987, Review, Karl Rubin, Bull. Amer. Math. Soc. 21 (1989), 108-112
102. Jeff Shallit
     • The Logical Approach To Automatic Sequences: Exploring Combinatorics on Words with Walnut, J. Shallit, CUP 2022
     • Neverending Fractions, An Introduction to Continued Fractions, Jonathan Borwein, Alf van der Poorten, Jeffrey Shallit, Wadim Zudilin, CUP, 2014
     • Automatic Sequences: Theory, Applications, Generalizations, J.-P. Allouche, J. Shallit, CUP 2003, Addenda
     • Algorithmic Number Theory, Vol. 1, J.O. Shallit, Eric Bach, MIT Press 1996
103. Andrew Shallue
     • Two number-theoretic problems that illustrate the power and limitations of randomness, PhD thesis, Andrew Shallue, University of Wisconsin-Madison, 2007
104. Ananth Shankar
105. Arul Shankar
106. Oruganti Shanker
     • Zeroes of the Riemann zeta function and Dirichlet L-functions (Oruganti Shanker)
107. Karam Deo Shankhadhar
108. Xuancheng Shao
109. Romyar Sharifi
     • Iwasawa theory, an introduction by Romyar Sharifi, AMS Notices, January 2019
     • Lectures and videos by John Coates, David Loeffler and Sarah Zerbes, Romyar Sharifi, Christopher Skinner and Ralph Greenberg, Arizona Winter School 2018: Iwasawa Theory
110. Himanshu Sharma
111. Richa Sharma
112. Tony Shaska
     • Abelian Varieties and Number Theory, Ed. Moshe Jarden, Tony Shaska, Contemporary Mathematics, Volume 767, AMS 2021
     • Algebraic Curves and Their Applications, Ed. Lubjana Beshaj, Tony Shaska, AMS Contemporary Mathematics, Volume 724, 2019
113. Mark Sheingorn
114. Sudhanshu Shekhar
115. Thomas Shemanske
     • Modern Cryptography and Elliptic Curves: A Beginner's Guide , Thomas Shemanske, AMS Student Mathematical Library 83, 2017, Review by Mark Hunacek
116. Arshay Sheth
117. Iris Shi
118. Hironori Shiga
119. Junichi Shigezumi
120. Shun Shimomura
121. Sug Woo Shin
122. Lekata Shiokawa
123. Ken-ichi Shiota
124. Rachel Shipsey
125. Wai Chee Shiu
126. Peter Shiu
     • Number Theory with Computations, Peter Shiu, Springer, 2004
127. Ilya D. Shkredov
128. Alexandra Shlapentokh
     • Hilbert's Tenth Problem: Diophantine Classes and Extensions to Global Fields, Alexandra Shlapentokh, New Mathematical Monographs 7, CUP November 2006
129. Ari Shnidman
     • Heights of generalized Heegner cycles, Phd thesis, Ari Shnidman, University of Michigan, 2015
130. Amin Shokrollahi
131. Tarlak N. Shorey
     • Complex Analysis with Applications to Number Theory, T.N. Shorey, Springer 2020
     • Highlights in the Research Work of T.N. Shorey, Robert Tijdeman
     • Exponential Diophantine Equations, T.N. Shorey and R. Tijdeman, Cambridge Tracts in Mathematics 87, CUP 1987, Review, J. L. Brenner, Bull. Amer. Math. Soc. 25 (1991), 145-146
132. Jack Shotton
133. Victor Shoup
     • A Computational Introduction to Number Theory and Algebra, 2nd edition, Victor Shoup, CUP 2008
     • NTL: A Library for doing Number Theory
134. Igor Shparlinski
     • 2022 George Szekeres Medal awarded to Igor Shparlinski
     • Frobenius Distributions: Lang-Trotter and Sato-Tate Conjectures, Ed. David Kohel, Igor Shparlinski, Contemporary Mathematics, Volume 663, 2016, AMS
     • Number Theory and Related Fields, Ed. Jonathan Borwein, Igor Shparlinski, Wadim Zudilin, Springer Proceedings in Mathematics & Statistics, Vol. 43, 2013
     • Cryptographic applications of analytic number theory, Igor Shparlinski, Birkhaüser, 2003.
     • Recurrence sequences, G. Everest, A.J. van der Poorten, I. Shparlinski, T. Ward, AMS Surveys and Monographs, volume 104, 2003
     • Character Sums with Exponential Functions and their Applications, S. Konyagin, I. Shparlinski, CUP 1999
       • Review of Character sums with Exponential Functions and their Applications, S. Konyagin, I. Shparlinski (Reviewer: W. Duke)
     • Finite fields: Theory and computation, I. Shparlinski, Kluwer Academic Publishers 1999
     • Number theoretic methods in cryptography: Complexity lower bounds, I. Shparlinski, PCS 17, Birkhäuser, 1999
     • Computational and Algorithmic Problems in Finite Fields, I. Shparlinski, Kluwer 1992
135. Zhai Shuai
136. Andrei Shubin
137. Dan Shumow
138. Jerry Shurman
     • A First Course in Modular Forms, Fred Diamond, Jerry Shurman, Graduate Text 228, Springer January 2005, Errata
       • A first course in modular forms, Fred Diamond, Jerry Shurman, Reviewer Frank Calegari, Bull. AMS. 43 (2006), 415-421
139. Mark Shusterman
140. Jonas Siaulys
141. Nikita Sidorov
142. Jeroen Sijsling
143. Samir Siksek
     • Explicit Methods in Number Theory Rational Points and Diophantine Equations, Karim Belabas, Hendrik W. Lenstra Jr., Pierrick Gaudry, Michael Stoll, Mark Watkins, William McCallum & Bjorn Poonen, Frits Beukers, Samir Siksek, Panoramas et synthèses 36 (2012)
144. Lior Silberman
145. Giorgos Siligardos
     • Representation of Prime Powers by Binary Quadratic Forms, PhD Thesis, Giorgos Siligardos, University of Crete 2000 (pdf - Greek)
     • Prime Numbers of the form x²+ny², Masters Thesis, Giorgos Siligardos, University of Crete 1996 (pdf - Greek)
146. Graham Sills
     • Height Bounds for n-Coverings, PhD thesis, Graham Sills, Cambridge, 2010
147. Tomás Oliveira e Silva
     • Computational verification of the 3x+1 conjecture by Tomás Oliveira e Silva
     • Computational projects in number theory (Tomás Oliveira e Silva)
148. Alice Silverberg
     • Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields, Lisa Berger, Chris Hall, Rene Pannekoek, Rachel Pries, Shahed Sharif, Alice Silverberg, Douglas Ulmer, Jennifer Park, Memoirs of the AMS 1295, AMS 2020
     • Collected Papers V of Goro Shimura, Ed. Alice Silverberg, Hiroyuki Yoshida, Springer, 2016
     • Arithmetic of $L$-functions, Ed. Cristian Popescu, Karl Rubin and Alice Silverberg, Volume 18, IAS/Park City Mathematics Series, AMS 2011
     • Ranks of elliptic curves, K. Rubin, A. Silverberg, Bull. AMS. 39, 2002, 455-474
     • Draft of PCMI Lecture Notes on Open Questions in Arithmetic Algebraic Geometry (Alice Silverberg) (ps file 803K)
     • A report on Wiles' Cambridge lectures, K. Rubin, A. Silverberg, Bull. Amer. Math. Soc. 31 (1994), 15-38
149. Joe Silverman
     • Rational points on, and the arithmetic of, elliptic curves: A tale of two books (and an article), J.H. Silverman, Bull. Amer. Math. Soc. January 5, 2017
     • Some Problems of Unlikely Intersections in Arithmetic and Geometry, Umberto Zannier, with appendices by David Masser, Princeton University Press 2012, Review by Joe Silverman
     • An Introduction to the Theory of Numbers, Sixth Edition, G.H. Hardy and E.M. Wright, Edited by Roger Heath-Brown and Joseph Silverman, Foreward by Andrew Wiles, OUP 2008
     • An Introduction to Mathematical Cryptography, J. Hoffstein, J. Pipher, J.H. Silverman, Undergraduate Text, Springer, August 2008, Errata
     • The Arithmetic of Dynamical Systems, J.H. Silverman, Springer-Verlag Graduate Text 241, Spring 2007
     • Book Review of Arithmetic of Algebraic Curves, S.A. Stepanov, Kluwer 1994 (by J.H. Silverman)
     • Diophantine Geometry, An Introduction, M. Hindry, J.H. Silverman, Graduate Text 201, Springer 2000
     • Modular Forms and Fermat's Last Theorem, G. Cornell, J.H. Silverman, G. Stevens (Editors), Springer 1997 (Review: Kevin Buzzard)
     • Arithmetic Geometry, (ed. J.H. Silverman, G. Cornell), Springer 1986
     • The Arithmetic of Elliptic Curves, J.H. Silverman, 2nd edition, 2009, Springer Graduate Text in Mathematics 106
     • Rational Points on Elliptic Curves, J.H. Silverman, J. Tate, (second printing), Undergraduate Text, Springer 1992, Review, William R. Hearst III; Kenneth A. Ribet, Bull. Amer. Math. Soc. 30 (1994), 248-252, Errata
     • Advanced Topics in the Arithmetic of Elliptic Curves, J.H. Silverman, Graduate Text 151, Springer, 1994, Errata
     • A Friendly Introduction to Number Theory, J.H. Silverman, Prentice Hall, Fall 1996
     • Introduction to Arakelov Theory, S. Lang, Springer 1988, Review, Joseph H. Silverman, Bull. Amer. Math. Soc. 21 (1989), 171-176
150. Raivydas Šimėnas
151. Denis Simon
     • Equations dans les Corps de Nombres et Discriminants Minimaux, PhD thesis, Denis Simon, Bordeaux 1998
152. Aleksander Simonič
153. Christopher Sinclair
154. Saurabh Kumar Singh
155. Kaneenika Sinha
     • An introduction to the circle method, M. Ram Murty, Kaneenika Sinha, Student Mathematical Library, Vol. 104, AMS, 2023
156. Jonah Sinick
157. Matti K. Sinisalo
158. Warren Sinnott
159. Nicolás Sirolli
160. Olof Sisask
161. Sankar Sitaraman
162. Jimena Sivak-Fischler
     • Méthodes de crible appliquées aux sommes de Kloosterman et aux petits écarts entre nombres premiers, PhD thesis, Jimena Sivak-Fischler, Université Paris XI, 2005
163. Marius Skałba
164. Matthew Skerrit
165. Christopher Skinner
     • Lectures and videos by John Coates, David Loeffler and Sarah Zerbes, Romyar Sharifi, Christopher Skinner and Ralph Greenberg, Arizona Winter School 2018: Iwasawa Theory
166. Berit Skjernaa
167. Howard Skogman
168. Alexei Skorobogatov
     • Number Theory and Algebraic Geometry, Ed. Miles Reid, Alexei Skorobogatov, LMS Lecture Notes 303, 2004
     • Torsors and Rational Points, A. Skorobogatov, Cambridge Tract 144, CUP
169. Nils-Peter Skoruppa
170. Ladislav Skula
171. Neil Sloane
     • Quanta Magazine interview with Neil Sloane
     • Neil Sloane's Integer Sequences Page
     • Sphere Packing, Lattices and Groups, (Third Edition), N. Sloane, J.H. Conway, Springer 1999
     • Eight hateful sequences (Neil Sloane)
172. Lejla Smajlović
     • Automorphic Forms and Related Topics, Ed. Samuele Anni, Jay Jorgenson, Lejla Smajlovi&263;, Lynne Walling, AMS Contemporary Mathematics, Volume 732, 2019
173. Nigel Smart
     • Nigel Smart's Weil Descent Page
     • Elliptic Curves and Cryptography, I. Blake, G. Seroussi, N. Smart, CUP, June 1999
     • The Algorithmic Resolution of Diophantine Equations, A Computational Cookbook, N.P. Smart, LMS Lecture Notes, CUP 1998
174. Bart de Smit
     • Reken mee met ABC (Bart de Smit, Gillien Geuze), Nieuw Archief voor Wiskunde (5th series) 8 (2007), 26-30
175. Alexander Smith
     • Alexander Smith Awarded inaugural David Goss Prize
176. Barry Smith
     • Translation of André Weil's La Cyclotomie Jadis et Naguère (Barry Smith)
     • On the values of equivariant and Artin L-functions of cyclic extensions of number fields, PhD thesis, Barry Smith, University of California, San Diego, 2007
177. Ben Smith
     • Explicit Endomorphisms and Correspondences, PhD thesis, Ben Smith, University of Sydney, 2005
178. Ethan C. Smith
179. Geoffrey Smith
180. Hanson Smith
181. Chris Smyth
     • Around the unit circle, James McKee, Chris Smyth, Springer Universitext, 2021
     • Ramanujan's tau function τ(n) for n up to 1,000,000 (Chris Smyth)
     • Number Theory and Polynomials, Ed. James McKee, Chris Smyth, Series: London Mathematical Society Lecture Note Series 352, March 2008, CUP
182. Nina Snaith
     • Ranks of Elliptic Curves and Random Matrix Theory, Brian Conrey, David Farmer, F. Mezzadri, Nina Snaith, LMS Lecture notes 341, CUP 2007
     • Recent Perspectives in Random Matrix Theory and Number Theory, Ed. F. Mezzadri, Nina Snaith, LMS Lecture notes 322, CUP 2005
     • Random matrix theory and zeta functions, PhD thesis, Nina Snaith, University of Bristol 2000 (ps 3162K)
183. Noah Snyder
     • Artin L-Functions: A Historical Approach, (Noah Snyder)
184. Anders Södergren
185. Adriana Sofer
186. Efthymios Sofos
187. Ivan Soldo
188. Ragnar Soleng
189. David Solomon
     • Stark's Conjectures: Recent Work and New Directions, Ed. David Burns, Christian Popescu, Jonathan Sands, David Solomon, Contemporary Mathematics 358, AMS 2004
190. Jozsef Solymosi
191. Anna Somoza
     • Inverse Jacobian and related topics for certain superelliptic curves, PhD thesis, Anna Somoza, UPC Barcelona and Leiden University 2019
192. Jack Sonn
193. Keiju Sono
194. Vijay Sookdeo
195. Claus Sorensen
196. Jon Sorenson
197. Florence Soriano-Gafiuk
198. K. Soundararajan
     • Finite Fields, with Applications to Combinatorics, Kannan Soundararajan, AMS Student Mathematical Library, Volume 99, 2022
     • Tao's resolution of the Erdös discrepancy problem, K. Soundararajan, Bull. Amer. Math. Soc. September 11, 2017
     • Mathematicians Discover Prime Conspiracy
     • Notes on additive combinatorics K. Soundararajan
     • Notes on transcendental number theory (Math 249A, 2010), K. Soundararajan
     • Small gaps between prime numbers: The work of Goldston-Pintz-Yildirim, K. Soundararajan, Bulletin Amer. Math. Soc. 44 (2007), 1-18
199. Athanasios Sourmelidis
200. Gökhan Soydan
201. Craig Spencer
202. Joel Spencer
     • Random number theory (Carl Pomerance)
203. Lukas Spiegelhofer
204. Jürgen Spilker
     • Arithmetical Functions, W. Schwarz and J. Spilker, LMS Lecture Notes 184, CUP 1994
205. Florin Spinu
     • L⁴ norm of the Eisenstein series, PhD thesis, Florin Spinu, Princeton 2003
206. Johannes Sprang
207. Florian (Ian) Sprung
208. Ramesh Sreekantan
209. Anitha Srinivasan
     • The Markov (unicity) conjecture for prime powers, Anitha Srinivasan
210. Anupam Srivastav
211. Priyamvad Srivastav
212. Eric Stade
213. Hayden Stainsby
214. Katherine Stange
     • Pari scripts on Tate Pairing Computation via Elliptic Nets, Elliptic Divisibility Sequences Tools and Elliptic Nets Tools, Katherine Stange
215. Pantelimon Stanica
216. Jim Stankewicz
     • Twists of Shimura Curves, PhD thesis, Jim Stankewicz, University of Georgia, 2012
217. Valeriia Starichkova
218. Harold Stark
     • An introduction to number theory, H. Stark, Markham 1970
219. Alexander Stasinski
220. Ander Steele
221. Damien Stehlé
222. Andreas Stein
223. William Stein
     • Prime Numbers and the Riemann Hypothesis, Barry Mazur, William Stein, CUP 2016, MAA Review
     • Elementary Number Theory: Primes, Congruences, and Secrets, William Stein, Undergraduate Text, Springer 2009 (freely available online)
     • Ribet-Stein notes on Serre's conjecture (pdf)
     • What is Riemann's Hypothesis? (Barry Mazur and William Stein)
     • Math 583 at University of Washington: The Birch and Swinnerton-Dyer Conjecture, lecture course (William Stein)
     • Average ranks of elliptic curves: tension between data and conjecture, Baur Bektemirov, Barry Mazur, William Stein, Mark Watkins, Bull. American Math. Soc. 44, 233-254, 2007; also see experimental data
     • Modular Forms, a Computational Approach, William Stein, Graduate Studies in Mathematics 79, AMS March 2007
       • Modular Forms: A Computational Approach, by William Stein (2007), is now downloadable
     • SAGE, Software for Algebra and Geometry Experimentation (William Stein)
     • Introduction to Algebraic Number Theory, course notes by William Stein
     • Algebraic number theory course book (William Stein)
     • William Stein's photos of various number theorists
     • An explicit approach to elementary number theory (Course notes by William Stein)
     • Explicit approaches to modular abelian varieties, PhD thesis, William Stein, Berkeley 2000
     • Modular forms database, by William Stein
     • Lectures on Modular Forms and Hecke Operators (Ken Ribet and William A. Stein)
     • The Congruent Number Problem (William Stein)
224. Raphael Steiner
225. Misja F.A. Steinmetz
226. Wolfgang Steiner
227. Rustam Steingart
228. Lee Stemkoski
229. Serguei Stepanov
     • Codes on Algebraic Curves, S.A. Stepanov, Kluwer 1999
     • Number Theory and Its Applications, Ed. Y.C. Yıldırın, S.A. Stepanov, Marcel Dekker 1998
     • Arithmetic of Algebraic Curves, S.A. Stepanov, Kluwer 1994, Review by J.H. Silverman, Bull.AMS 33 (1996), 251-254
230. Jacques Stern
231. Leonid Stern
232. Jörn Steuding
     • Number Theory in Memory of Eduard Wirsing, Ed. Helmut Maier, Jörn Steuding, Rasa Steuding, Springer, 2023
     • Hurwitz's Lectures on the Number Theory of Quaternions, Nicola Oswald, Jörn Steuding, AMS 2023
     • From Arithmetic to Zeta-Functions, Number Theory in Memory of Wolfgang Schwarz, Ed. Jürgen Sander, Jörn Steuding, Rasa Steuding, Springer, 2016
     • Diophantine Analysis: Course Notes from a Summer School, Editor: Jön Steuding, Birkhäuser, 2016
     • Elementare Zahlentheorie, Nicola Oswald, Jörn Steuding, Springer Lerhbuch XIII, 2015
     • Voronin Universality Theorem (Jörn Steuding-MathWorld)
     • Value Distributions of L-Functions, Jörn Steuding, Lecture Notes in Mathematics 1877, Springer, April 2007
     • Diophantine analysis, Jörn Steuding, CRC Press/ Chapman & Hall, Boca Raton, 2005
233. Peter Stevenhagen
     • Review by Hendrik Lenstra and Peter Stevenhagen of Solving the Pell Equation, Michael Jacobson Jr., Hugh Williams, CMS Books in Mathematics, Springer 2009
     • Algorithmic Number Theory, Edited by Joe P. Buhler and Peter Stevenhagen, Mathematical Sciences Research Institute Publications, December 2008 CUP, also see Preliminary version
     • Number rings, local fields, elliptic curves, lecture notes by Peter Stevenhagen
234. Glenn Stevens
     • Famous Functions in Number Theory, Bowen Kerins, Darryl Yong, Al Cuoco, Glenn Stevens, IAS/PCMI--The Teacher Program Series, Volume 3, 2015
     • Elementary Theory of L-functions and Eisenstein Series, H. Hida, LMS Lecture Notes 26, CUP 1993, Review, Glenn Stevens, Bull. Amer. Math. Soc. 34 (1997), 67-71
     • Modular Forms and Fermat's Last Theorem, G. Cornell, J.H. Silverman, G. Stevens (Editors), Springer 1997 (Review: Kevin Buzzard)
     • p-Adic Monodromy and the Birch and Swinnerton-Dyer Conjecture, G. Stevens, B. Mazur, Contemporary Mathematics 165, AMS 1994
235. Shaun Stevens
236. Cameron Stewart
     • Second thoughts on some topics from Diophantine approximation and analytic number theory (Cameron Stewart)
     • Course notes on analytic number theory, algebraic number theory, linear forms in logarithms and diophantine equations (Cameron Stewart)
237. Henning Stichtenoth
     • Algebraic Function Fields and Codes, Henning Stichtenoth, Graduate Text 254, Springer 2008
238. John Stillwell
     • Algebraic Number Theory for Beginners, John Stillwell, CUP 2022
     • Elements of Number Theory, J. Stillwell, Undergraduate Texts in Mathematics, Springer 2003
     • Theory of Algebraic Integers by Richard Dedekind, Translated by John Stillwell, CUP 1996
239. Jakob Stix
     • Why abc is still a conjecture (Peter Scholze and Jacob Stix)
     • Titans of Mathematics Clash Over Epic Proof of ABC Conjecture (Qantamagazine, September 2018)
     • Rational Points and Arithmetic of Fundamental Groups, Jakob Stix, Lecture Notes in Mathematics, Vol. 2054, 2012
240. Kenneth Stolarsky
241. Michael Stoll
     • Explicit Methods in Number Theory Rational Points and Diophantine Equations, Karim Belabas, Hendrik W. Lenstra Jr., Pierrick Gaudry, Michael Stoll, Mark Watkins, William McCallum & Bjorn Poonen, Frits Beukers, Samir Siksek, Panoramas et synthèses 36 (2012)
     • Introductory Number Theory (Course notes by Michael Stoll)
     • Descent on Elliptic Curves (Course notes by Michael Stoll)
     • Programs (Ratpoints, J-points), Ratpoints finds rational points on hyperelliptic curves, J-points searches for rational points on the Jacobian of a genus 2 curve (Michael Stoll)
     • Elliptische Kurven I/II, (Lecture notes in German by Michael Stoll)
242. Thomas Stoll
     • Algorithmic Solution of Diophantine Equations, Diploma Thesis, Thomas Stoll, 2001, TU Graz
     • Finiteness Results for Diophantine Equations Involving Polynomial Families, PhD Thesis, Thomas Stoll, 2003, TU Graz
243. Jeffrey Stopple
     • Notes on the Deuring-Heilbronn phenomenon, Jeff Stopple, Notices AMS 53, September (2006) 864-875
     • Exercises on binary quadratic forms to supplement David Cox's book Primes of the Form x²+ny² (Jeff Stopple)
     • A Primer of Analytic Number Theory, Jeffrey Stopple, CUP 2003
244. Matthias Storzer
245. Armin Straub
246. Oto Strauch
     • Septuagenarian Oto Strauch
     • Distribution of Sequences: A Sampler, Oto Strauch, Stefan Porubský, Revised edition 2018
247. Marco Streng
     • Complex multiplication of abelian surfaces, PhD thesis, Marco Streng, Leiden 2010
248. Roel Stroeker
249. Fredrik Strömberg
250. Andreas Strömbergsson
251. Ulrich Stuhler
252. Joshua Stucky
253. Robert Styer
     • Recent Work of Robert Styer and Reese Scott on the generalised Pillai equation
254. Sujatha Ramdorai
     • The Bloch-Kato Conjecture for the Riemann Zeta Function, John Coates, A. Raghuram, Anupam Saikia, R. Sujatha, CUP 2015
     • Noncommutative Iwasawa Main Conjectures over Totally Real Fields, Ed. John Coates, Peter Schneider, Sujatha Ramdorai, Otmar Venjakob, Springer Proceedings in Mathematics & Statistics, Vol. 29, 2013
     • Galois Cohomology of Elliptic Curves: Second Edition, John Coates, R. Sujatha (publication of the Tata Institute of Fundamental Research)
     • Cyclotomic Fields and Zeta Values, John Coates, Ramdorai Sujatha, Springer Monographs in Mathematics, 2006
255. Hiroki Sumida-Takahashi
     • Algebraic Number Theory and Related Topics 2007, Eds. M. Asada, H. Nakamura and H. Takahashi, RIMS, Kôkyûroku Bessatsu B12, August, 2009
256. Qingfeng Sun
257. Yu-Chen Sun
258. Zhi-Hong Sun
     • Legendre polynomials and Jacobsthal sums (Zhi-Hong Sun)
     • Binary quadratic forms and sums of triangular numbers (Zhi-Hong Sun)
     • Cubic, quartic, octic residues and Lucas sequences (Zhi-Hong Sun)
     • p-regular functions and congruences for Bernoulli and Euler numbers (Zhi-Hong Sun)
     • Some conjectures on congruences (Zhi-Hong Sun)
     • Congruences for Fibonacci numbers (Zhi-Hong Sun)
259. Zhi-Wei Sun
     • New Conjectures in Number Theory and Combinatorics (in Chinese), Zhi-Wei Sun, Harbin Institute of Technology Press, 2021, ISBN:978-7-5603-4378-5. This book consists of 13 chapters, and contains 820 open conjectures in number theory and combinatorics posed by the author.
     • Zhi-Wei Sun's square conjecture with prize
     • Conjectures on Representations Involving Primes, Zhi-Wei Sun
     • The 24-conjecture with $2400 prize (Zhi-Wei Sun)
     • Some mysterious representations of integers, a message to Number Theory Mailing List, October 25, 2015
     • Problems on combinatorial properties of primes (Zhi-Wei Sun)
     • Super Twin Prime Conjecture, a message to the Number Theory List, Feb. 6, 2014, from Zhi-Wei Sun
     • Unification of Goldbach's conjecture and the twin prime conjecture, a message to Number Theory List, January 29, 2014 from Zhi-Wei Sun
     • Some new problems in additive combinatorics, Zhi-Wei Sun
     • On some determinants with Legendre symbol entries, Zhi-Wei Sun
     • Conjectures involving arithmetical sequences, Zhi-Wei Sun
     • Combinatorial Number Theory in China (Zhi-Wei Sun)
     • List of conjectural series for powers of π and other constants (Zhi-Wei Sun)
     • Open Conjectures on Congruences (Zhi-Wei Sun)
     • Mixed sums of primes and other terms (Zhi-Wei Sun)
     • Groups and Combinatorial Number Theory, a survey by Zhi-Wei Sun (pdf)
     • Covering Systems, Restricted Sumsets, Zero-sum Problems and their Unification (Zhi-Wei Sun)
     • Introduction to Bernoulli and Euler polynomials (Zhi-Wei Sun) (pdf file)
260. Ade Irma Suriajaya
261. B. Sury
     • The congruence subgroup problem - an elementary approach aimed at applications,, TRIM Series, Vol. 24, Hindustan Book Agency
262. Andrew Sutherland
     • Sato-Tate Groups of Abelian Threefolds, Francesc Fité, Kiran S. Kedlaya, Andrew V. Sutherland, AMS, 2025
     • LuCaNT: LMFDB, Computation, and Number Theory, Ed. John Cremona, John Jones, Jennifer Paulhus, Andrew V. Sutherland, John Voight, Contemporary Mathematics 796, AMS 2024
     • The L-Functions and Modular Forms Database, John E. Cremona, John W. Jones, Andrew V. Sutherland, and John Voight, AMS Notices October, 2021
     • Narrow admissible Tuples (related to the Polymath project on prime gaps) (Andrew Sutherland)
     • Partition class polynomials (Andrew Sutherland)
     • Weber modular polynomials (Andrew Sutherland)
     • Classical Modular Polynomials (Andrew Sutherland)
     • Slides from Oberwolfach lecture series "Sieve theory and small gaps between primes" on the Polymath8 project on prime gaps
       • Slide 1
       • Slide 2
       • Slide 3
     • Sato-Tate distributions (Lecture notes from the 2016 Arizona Winter School) Andrew Sutherland
     • 18.785 Number Theory I (MIT, Fall 2019) (Andrew Sutherland)
     • The sum-of-three-cubes for the number 3 has been solved by Andrew Booker and Andrew Sutherland
     • 18.783 Elliptic Curves (MIT, Spring 2019) (Andrew Sutherland)
     • Order Computations in Generic Groups, PhD thesis, Andrew V. Sutherland, MIT June 2007, Thesis abstract
263. Masatoshi Suzuki
264. Eeva Suvitie
265. Cathy Swaenepoel
     • Digits of prime numbers and other remarkable sequence, PhD thesis, Cathy Swaenepoel, Université d'Aix-Marseilles, 2019
266. Ashvin A. Swaminathan
267. Holly Swisher
     • Hypergeometric Functions Over Finite Fields, Jenny Fuselier, Ling Long, Ravi Ramakrishna, Holly Swisher, Fang-Ting Tu, Memoirs of the American Mathematical Society, 2022
268. Lessini Sylla
     • Autour d'une conjecture de B. Gross relative à l'existence de corps de nombres de groupe de Galois non résoluble et ramifiés en un unique premier p petit, PhD, Lesseni Sylla, Université Bordeaux, 2005
269. László Szalay
270. Endre Szemerédi
271. Bogdan Szydlo

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