Results 61 to 70 of about 126,703,443 (108)

Equidistribution and independence of Gauss sums [PDF]

open access: yes
We prove a general independent equidistribution result for Gauss sums associated to $n$ monomials in $r$ variable multiplicative characters over a finite field, which generalizes several previous equidistribution results for Gauss and Jacobi sums.
Rojas-León, Antonio
core   +1 more source

Evaluations of a Weighted Average of Gauss Sums

open access: yes, 2021
In this paper, we perform a further investigation for a weighted average of Gauss sums. By making use of some properties of the cotangent function and the Bernoulli polynomials, we explicitly evaluate the weighted average of Gauss sums in terms of the ...
Wen-Kai Shao, Yuan He
core   +1 more source

A Note on the Classical Gauss Sums

open access: yes, 2018
The main purpose of this paper is to study the computational problem of one kind rational polynomials of the classical Gauss sums, and using the purely algebraic methods and the properties of the character sums mod p (a prime with p ≡
Tingting Wang, Guohui Chen
core   +1 more source

Gauss Sums For The Working Topologist

open access: yes, 2008
Introduction In order to calculate Witten and Reshetikhin-Turaev invariants of 3-manifolds one needs to be able to compute sums of the form X xmodc exp ` 2ßia c ' ax 2 +bx ; (1) where a, b, and c are integers with c ?
Charles Frohman   +2 more
core  

Quadratic Form Gauss Sums

open access: yes, 2016
Let p be a prime, n, r positive integers, S an integer coprime to p. We let Q_r denote an r-dimensional integral quadratic form. For convenience, set e(x) = e^{2 pi i x}, where x is any rational number, i is the imaginary unit. Denote the quadratic Gauss
Doyle, Gregory
core   +1 more source

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