Publications of Herbert James Godwin

  1. Godwin, H. J.; Smith, J. R. On the Euclidean nature of four cyclic cubic fields. Math. Comp. 60 (1993), no. 201, 421-423.
  2. Godwin, H. J. Explicit expressions for Sturm sequences. Math. Proc. Cambridge Philos. Soc. 100 (1986), no. 2, 225-227.
  3. Godwin, H. J. A parametrized set of cyclic cubic fields with even class-number. J. Number Theory 22 (1986), no. 2, 246-248.
  4. Godwin, H. J. Corrigenda: "On quartic fields of signature one with small discriminant. II". Math. Comp. 43 (1984), no. 168, 621.
  5. Godwin, H. J. On quartic fields of signature one with small discriminant. II. Math. Comp. 42 (1984), no. 166, 707-711.
  6. Godwin, H. J. A note on Cusick's theorem on units in totally real cubic fields. Math. Proc. Cambridge Philos. Soc. 95 (1984), no. 1, 1-2.
  7. Godwin, H. J. The calculation of large units in cyclic cubic fields. J. Reine Angew. Math. 338 (1983), 216-220.
  8. Godwin, H. J. Corrigenda: "A note on congruent numbers" (Math. Comp. 32 (1978), no. 141, 293-295). Math. Comp. 33 (1979), no. 146, 847.
  9. Godwin, H. J. A note on congruent numbers. Math. Comp. 32 (1978), no. 141, 293-295.
  10. Angell, I. O.; Godwin, H. J. On truncatable primes. Math. Comp. 31 (1977), no. 137, 265-267.
  11. Godwin, H. J. Corrigenda et addendum: "On relations between cubic and quartic fields" (Quart. J. Math. Oxford Ser. (2) 13 (1962), 206-212). Quart. J. Math. Oxford Ser. (2) 26 (1975), no. 104, 511-512.
  12. Godwin, H. J. The inverse of a Pascal matrix. Math. Gaz. 58 (1974), no. 405, 221-222.
  13. Godwin, H. J.; Samet, P. A. Corrigendum: "A table of real cubic fields" (J. London Math. Soc. 34 (1959), 108-110). J. London Math. Soc. (2) 9 (1974/75), 624.
  14. Angell, I. O.; Godwin, H. J. Some factorizations of 10nA±1. Math. Comp. 28 (1974), 307-308.
  15. Computers in number theory. Proceedings of the Science Research Council Atlas Symposium No. 2 held at Oxford, from 18-23 August 1969. Edited by A. O. L. Atkin and B. J. Birch. Academic Press, London-New York, 1971. xvii+433 pp.
  16. Chang, J. A.; Godwin, H. J. A table of irreducible polynomials and their exponents. Proc. Cambridge Philos. Soc. 65 (1969) 513-522.
  17. Godwin, H. J. Some factorizations of n8+1. Bull. Soc. Roy. Sci. Liège 37 (1968) 274-275.
  18. Godwin, H. J. On Euclid's algorithm in some cubic fields with signature one. Quart. J. Math. Oxford Ser. (2) 18 (1967) 333-338.
  19. Godwin, H. J. On Euclid's algorithm in some quartic and quintic fields. J. London Math. Soc. 40 (1965) 699-704.
  20. Godwin, H. J. On the inhomogeneous minima of totally real cubic norm-forms. J. London Math. Soc. 40 (1965) 623-627.
  21. Godwin, H. J. On the least quadratic non-residue. Proc. Cambridge Philos. Soc. 61 (1965) 671-672.
  22. Godwin, H. J. On a conjecture of Barnes and Swinnerton-Dyer. Proc. Cambridge Philos. Soc. 59 (1963) 519-522.
  23. Godwin, H. J. On relations between cubic and quartic fields. Quart. J. Math. Oxford Ser. (2) 13 (1962) 206-212.
  24. Godwin, H. J. The determination of the class-numbers of totally real cubic fields. Proc. Cambridge Philos. Soc. 57 (1961) 728-730.
  25. Godwin, H. J.; Zaremba, S. C. A central limit theorem for partly dependent variables. Ann. Math. Statist. 32 (1961) 677-686.
  26. Godwin, H. J. The determination of units in totally real cubic fields. Proc. Cambridge Philos. Soc. 56 (1960) 318-321.
  27. Godwin, H. J.; Samet, P. A. A table of real cubic fields. J. London Math. Soc. 34 (1959) 108-110.
  28. Godwin, H. J. The determination of fields of small discriminant with a given subfield. Math. Scand 6 (1958) 40-46.
  29. Godwin, H. J. On quartic fields of signature one with small discriminant. Quart. J. Math. Oxford Ser. (2) 8 (1957) 214-222.
  30. Godwin, H. J. A note on x3+y3+z3=1. J. London Math. Soc. 32 (1957), 501-503.
  31. Godwin, H. J. On totally complex quartic fields with small discriminants. Proc. Cambridge Philos. Soc. 53 (1957), 1-4.
  32. Godwin, H. J. Real quartic fields with small discriminant. J. London Math. Soc. 31 (1956), 478-485.
  33. Godwin, H. J. On generalizations of Tchebychef's inequality. J. Amer. Statist. Assoc. 50 (1955), 923-945.
  34. Godwin, H. J. On the inhomogeneous minima of certain norm-forms. J. London Math. Soc. 30, (1955). 114-119.
  35. Godwin, H. J. On the inhomogeneous minima of certain convergent sequences of binary quadratic forms. Quart. J. Math., Oxford Ser. (2) 5, (1954). 28-46.
  36. Godwin, H. J. On a theorem of Khintchine. Proc. London Math. Soc. (3) 3, (1953). 211-221.
  37. Godwin, H. J. A method for the evaluation of ∫0∞xm(√(2/π)∫x∞exp(-t2/2)dt)ndx. Quart. J. Mech. Appl. Math. 5, (1952). 109-115.
  38. Godwin, H. J. On the product of five homogeneous linear forms. J. London Math. Soc. 25, (1950). 331-339.
  39. Godwin, H. J. On the estimation of dispersion by linear systematic statistics. Biometrika 36, (1949). 92-100.
  40. Godwin, H. J. Some low moments of order statistics. Ann. Math. Statistics 20, (1949). 279-285.
  41. Godwin, H. J. A note on Kac's derivation of the distribution of the mean deviation. Ann. Math. Statistics 20, (1949). 127.
  42. Godwin, H. J. A further note on the mean deviation. Biometrika 35, (1948). 304-309.
  43. Anscombe, F. J.; Godwin, H. J.; Plackett, R. L. Methods of deferred sentencing in testing the fraction defective of a continuous output. Suppl. J. Roy. Statist. Soc. 9, (1947). 198-217.
  44. Godwin, H. J. On the distribution of the estimate of mean deviation obtained from samples. Biometrika 33, (1945). 254-256.
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Last modified 23rd July 2006