On Pythagorean Triples and the Primitive Roots Modulo a Prime

被引：0
|
作者：
Wang, Jingzhe [1 ]
机构：
[1] Inner Mongolia Univ Finance & Econ, Sch Stat & Math, Hohhot 010070, Inner Mongolia, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2021年 / 2021卷
关键词：
SUMS;
D O I：
10.1155/2021/7634728
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use the elementary methods and the estimates for character sums to study a problem related to primitive roots and the Pythagorean triples and prove the following result: let p be an odd prime large enough. Then, there must exist three primitive roots x, y, and z modulo p such that x(2)+y(2)=z(2).
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页数：8
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