奇素数 p 时 $$\mathbb {Z}_p^*$ 中二次残差与非残差的划分

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-01-12 DOI:10.1007/s00013-023-01942-2

Yathirajsharma M.V., Manjunatha M.R.

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引用次数: 0

摘要

设 p 是奇素数。在本文中，我们用高斯求和的基本方法研究了二次残差和非残差 modulo p 可以表示为两个二次残差之和，两个二次非残差之和，以及二次残差和非残差之和的几种方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Partition of quadratic residues and non-residues in $\mathbb {Z}_p^*$ for an odd prime p

Let p be an odd prime. In this article, we investigate the number of ways in which a quadratic residue and a non-residue modulo p can be expressed as sum of two quadratic residues sum of two quadratic non-residues, and sum of a quadratic residue and non-residue in an elementary way using Gauss sums.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.