quadratic gauss sum：Reference Request

Reference Request

2020年2月6日—LetN≥2beanaturalnumber,thenletχ:(Z/NZ)×→±1}beaquadraticcharacter.ConsidertheGausssumτ(1,χ)=∑x∈(Z/NZ)×χ(x)e2πix/N.。其他文章還包含有：「QuadraticGausssum」、「EVALUATIONOFTHEQUADRATICGAUSSSUM」、「ThequadraticGausssumredux」、「GaussSums」、「(PDF)NoteonthequadraticGausssums」、「OnsomeconjecturesongeneralizedquadraticGauss...」、「HowtoproveageneralizedGausssumformula」、「[ANT11]...

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Gauss sum

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Quadratic Gauss sum

https://en.wikipedia.org

In number theory, quadratic Gauss sums are certain finite sums of roots of unity. A quadratic Gauss sum can be interpreted as a linear combination of the ...

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EVALUATION OF THE QUADRATIC GAUSS SUM

https://mast.queensu.ca

As a consequence, we evaluate the quadratic Gauss sum and derive the law of quadratic reciprocity using only elementary methods. 1. Introduction.

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The quadratic Gauss sum redux

https://euclid.colorado.edu

... Gauss's) is the quadratic Gauss sum, g = p−1. X a=1. ( a p. )ζa, and Gauss's calculation that g2 = (. −1 p. )p. (1). The purpose of this note is to present a ...

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Gauss Sums

https://e.math.cornell.edu

is known as a Gauss sum ... p has an equal number of quadratic residues and quadratic non-residues. ... This completes the proof of the Gauss sum formula. Page 7 ...

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(PDF) Note on the quadratic Gauss sums

https://www.researchgate.net

We study the relation between the Gauss and the quadratic Gauss sums. It is shown that the quadratic Gauss sums G(k;p) are equal to the Gauss ...

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On some conjectures on generalized quadratic Gauss ...

https://www.sciencedirect.com

Abstract. The main purpose of this article is to study higher power mean values of generalized quadratic Gauss sums using estimates for character sums, analytic ...

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