Chebyshev Polynomials and Pell Equations over Finite Fields

被引：0

作者：

Boaz Cohen

机构：

[1] The Academic College of Tel-Aviv,Department of Computer Science

来源：

Czechoslovak Mathematical Journal | 2021年 / 71卷

关键词：

finite field; Chebyshev polynomial; Pell equation; 12E20; 11D09; 12E10; 11D79; 11T99;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We shall describe how to construct a fundamental solution for the Pell equation x2 − my2 = 1 over finite fields of characteristic p ≠ 2. Especially, a complete description of the structure of these fundamental solutions will be given using Chebyshev polynomials. Furthermore, we shall describe the structure of the solutions of the general Pell equation x2 − my2 = n.

引用

页码：491 / 510

页数：19