Partition regularity of polynomial systems near zero
Combinatorics
2021-02-10 v3 Logic
Abstract
Recently, S.~Kanti Patra and Md.~Moid Shaik proved the existence of monochromatic solutions to systems of polynomial equations near zero for particular dense subsemigroups of . We extend their results to a much larger class of systems whilst weakening the requests on , using solely basic results about ultrafilters.
Cite
@article{arxiv.2009.07766,
title = {Partition regularity of polynomial systems near zero},
author = {Lorenzo Luperi Baglini},
journal= {arXiv preprint arXiv:2009.07766},
year = {2021}
}