On Pythagorean Triples and the Primitive Roots Modulo a Prime

Jingzhe Wang and Wenpeng Zhang

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: 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 x2+y2=z2.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7634728

DOI: 10.1155/2021/7634728

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