Translation invariant equations and the method of Sanders
Number Theory
2012-11-26 v2 Combinatorics
Abstract
We extend the recent improvement of Roth's theorem on three term arithmetic progressions by Sanders to obtain similar results for the problem of locating non-trivial solutions to translation invariant linear equations in many variables in both and .
Keywords
Cite
@article{arxiv.1107.1110,
title = {Translation invariant equations and the method of Sanders},
author = {Thomas Bloom},
journal= {arXiv preprint arXiv:1107.1110},
year = {2012}
}