Sums of Quadratic Residues and Nonresidues

被引：2

作者：

Aebi, Christian ^{[1
]}

Cairns, Grant ^{[2
]}

机构：

[1] Coll Calvin, CH-1211 Geneva, Switzerland

[2] La Trobe Univ, Dept Math, Melbourne, Vic 3086, Australia

来源：

AMERICAN MATHEMATICAL MONTHLY | 2017年 / 124卷 / 02期

关键词：

D O I：

10.4169/amer.math.monthly.124.2.166

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that when a prime p is congruent to 1 modulo 4, the sum of the quadratic residues equals the sum of the quadratic nonresidues. In this note, we give elementary proofs of V-A. Lebesgue's analogous results for the case where p is congruent to 3 modulo 4.

引用

页码：166 / 169

页数：4

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