Jacobi sum
id:
jacobi-sum-320-9170301
title:
Jacobi sum
text:
In mathematics, a Jacobi sum is a type of character sum formed with Dirichlet characters. Simple examples would be Jacobi sums J(χ, ψ) for Dirichlet characters χ, ψ modulo a prime number p, defined by where the summation runs over all residues a = 2, 3, ..., p − 1 mod p. Jacobi sums are the analogues for finite fields of the beta function. Such sums were introduced by C. G. J. Jacobi early in the nineteenth century in connection with the theory of cyclotomy. Jacobi sums J can be factored generic
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https://en.wikipedia.org/wiki/Jacobi_sum
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2020-11-13T23:56:37Z
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