English

On a method of Alweiss

Combinatorics 2023-08-22 v1 Dynamical Systems Logic Number Theory

Abstract

Recently, Alweiss settled Hindman's conjecture over the rationals. In this paper, we provide our own exposition of Alweiss' result, and show how to modify his method to also show that sums of distinct products are partition regular over the rationals.

Cite

@article{arxiv.2308.10749,
  title  = {On a method of Alweiss},
  author = {Zach Hunter},
  journal= {arXiv preprint arXiv:2308.10749},
  year   = {2023}
}

Comments

29 pages. comments encouraged!

R2 v1 2026-06-28T12:00:29.265Z