AN ELEMENTARY APPROACH TO ((p-1)/4(p-1)/2) modulo p2

被引：4

作者：

Pan, Hao ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Binomial coefficient; Legendre symbol;

D O I：

10.11650/twjm/1500406847

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an elementary proof of the well-known congruence ((p-1/2)(p-1/4)) equivalent to 2(p-1) + 1 /2 (2a - p/2a) (mod p(2)), where p equivalent to 1 (mod 4) is prime and p = a(2) + b(2) with a equivalent to 1 (mod 4).

引用

页码：2197 / 2202

页数：6

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