Explicit Evaluation of Double Gauss Sums
Autor: | Alaca, ��aban, Doyle, Greg |
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Rok vydání: | 2016 |
Předmět: | |
DOI: | 10.48550/arxiv.1609.03919 |
Popis: | We present an explicit evaluation of the double Gauss sum $\displaystyle G(a,b,c;S;p^n):=\sum_{x,y=0}^{p^n-1} e^{2��i S(ax^2+bxy+cy^2)/p^n}$, where $a, b, c$ are integers such that $\gcd(a,b,c)=1$, $p$ is a prime, $n$ is a positive integer, and $S$ is an integer coprime to $p$. |
Databáze: | OpenAIRE |
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