English

Modular Schur numbers

Combinatorics 2026-04-28 v1

Abstract

We study modular analogues of Schur numbers for systems of linear equations. We show that these only depend on the number of equations, not their coefficients and in the case of one equation show stronger bounds.

Keywords

Cite

@article{arxiv.2604.23738,
  title  = {Modular Schur numbers},
  author = {Tom Sanders},
  journal= {arXiv preprint arXiv:2604.23738},
  year   = {2026}
}

Comments

18pp

R2 v1 2026-07-01T12:35:49.036Z