Gauss sum

id: gauss-sum-272-1675704
title: Gauss sum
text: In algebraic number theory, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically where the sum is over elements r of some finite commutative ring R, ψ is a group homomorphism of the additive group R+ into the unit circle, and χ is a group homomorphism of the unit group R× into the unit circle, extended to non-unit r, where it takes the value 0. Gauss sums are the analogues for finite fields of the Gamma function. Such sums are ubiquitous in number theory. T
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category slug: encyclopedia
description: Sum in algebraic number theory
original url: https://en.wikipedia.org/wiki/Gauss_sum
date created:
date modified: 2023-06-08T18:21:33Z
main entity: {"identifier":"Q526221","url":"https://www.wikidata.org/entity/Q526221"}
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