English

Exponential bounds for monochromatic sums equal to products

Combinatorics 2024-08-22 v1

Abstract

We show that any rr-coloring of {1,...,rrr3r}\{1,...,r^{r^{r^{3r}}}\} contains monochromatic sets {a,b,a+b,x,y,xy}\{a,b,a+b,x,y,xy\} with a+b=xy.a+b=xy.

Keywords

Cite

@article{arxiv.2408.11591,
  title  = {Exponential bounds for monochromatic sums equal to products},
  author = {Matt Bowen},
  journal= {arXiv preprint arXiv:2408.11591},
  year   = {2024}
}

Comments

4 pages

R2 v1 2026-06-28T18:19:27.039Z