We use the definition of the Kronecker symbol contained in Henri Cohen's book A Course in Computational Algebraic Number Theory. As usual, p denotes a prime.
This symbol is used in Dirichlet's class number formula, where d is a fundamental discriminant.
E. Landau, in common with some other authors, in his definition on page 51 of Elementare Zahlentheorie, adds the restriction that d ≡ 0 or 1 (mod 4) and also assumes that d is not a perfect square, with the latter assumption only being used in Satz 99,5), which states that = -1 for some n.
Also see R.G. Ayoub, An Introduction to the Analytic Theory of Numbers, 1963, page 290.
This is a BCMATH version of a BC program.
Last modified 16th June 2011
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