Jack Fearnley on Mon, 25 Aug 2003 15:06:14 -0400 |
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Kronecker symbol |
I have been having some trouble with kronecker(x,y) which is described in the documentation as a generalization of the Legendre symbol (x|y). I was expecting kronecker to behave like a Dirichlet character. In particular, I expected kronecker(3,4) to equal -1 whereas it computes as 1. I have two questions: 1) What is the precise definition of kronecker in Pari? 2) Is there a quick and easy way to generate quadratic Dirichlet characters in Pari? 2a) What about higher order Dirichlet characters? Best Regards, Jack Fearnley