Explicit Evaluation of Double Gauss Sums
| Autor: | Alaca, ��aban, Doyle, Greg |
|---|---|
| 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 |
| Externí odkaz: |
|