English

Finite sums of arithmetic progressions

Combinatorics 2019-05-07 v4

Abstract

We give a purely combinatorial proof for a two-fold generalization of van der Waerden-Brauer's theorem and Hindman's theorem. We also give tower bounds for a finite version of it.

Keywords

Cite

@article{arxiv.1902.09916,
  title  = {Finite sums of arithmetic progressions},
  author = {Shahram Mohsenipour},
  journal= {arXiv preprint arXiv:1902.09916},
  year   = {2019}
}

Comments

Revised and updated

R2 v1 2026-06-23T07:51:40.418Z