Improved Bounds on Sarkozy's Theorem for Quadratic Polynomials
Classical Analysis and ODEs
2012-03-29 v4 Combinatorics
Number Theory
Abstract
We extend the best known bound on the largest subset of {1,2,...,N} with no square differences to the largest possible class of quadratic polynomials.
Keywords
Cite
@article{arxiv.1111.5786,
title = {Improved Bounds on Sarkozy's Theorem for Quadratic Polynomials},
author = {Mariah Hamel and Neil Lyall and Alex Rice},
journal= {arXiv preprint arXiv:1111.5786},
year = {2012}
}
Comments
13 pages, citations modified, some typos corrected