A century problem related to the Legendre symbol modulo p
History and Overview
2026-03-19 v6 Number Theory
Abstract
The main purpose of this paper is using a very simple constructive method to study an old number theory problem related to the Legendre symbol modulo p, and completely solved it. The proving method of the result is purely elementary and has been desired in the literature at least since 1927.
Cite
@article{arxiv.2506.02434,
title = {A century problem related to the Legendre symbol modulo p},
author = {Wenpeng Zhang},
journal= {arXiv preprint arXiv:2506.02434},
year = {2026}
}