On sumsets containing a perfect square
Number Theory
2022-01-12 v1 Combinatorics
Authors:
Zachary Chase
Abstract
We show A+B contains a perfect square if A,B⊆{1,…,N} have ∣A∣,∣B∣≥(83+ϵ)N. The constant 83 is optimal.
Cite
@article{arxiv.2201.04115,
title = {On sumsets containing a perfect square},
author = {Zachary Chase},
journal= {arXiv preprint arXiv:2201.04115},
year = {2022}
}
Comments
19 pages
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