A generalization of Schur's theorem and its application to consecutive power residues
Number Theory
2013-10-01 v1
Abstract
This article provides a proof of a generalization of Schur's theorem on the partition regularity of the equation x+y=z, which involves a divisibility condition. This generalization will be utilized to prove the existence of 'small' consecutive power residues modulo p, where p is a sufficiently large prime.
Keywords
Cite
@article{arxiv.1309.7506,
title = {A generalization of Schur's theorem and its application to consecutive power residues},
author = {Carsten Dietzel},
journal= {arXiv preprint arXiv:1309.7506},
year = {2013}
}
Comments
5 pages