### Evaluating the Kronecker symbol

Here d is an integer and n is a positive integer.
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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