Multidimensional central sets theorem near zero
Combinatorics
2024-10-04 v1
Abstract
In [B] Beiglb\"ock gave a Multidimension Central sets theorem. Recently, [GP] extended this result for polynomials. They proved the Multidimensional Polynomial Central sets theorem. Earlier, Hindman and Leader introduced the near zero concept and proved the Central sets theorem near 0 in [HL]. In this article, we generalize the Multidimensional Central sets theorem for near 0.
Keywords
Cite
@article{arxiv.2410.02593,
title = {Multidimensional central sets theorem near zero},
author = {Anik Pramanick and Md Mursalim Saikh},
journal= {arXiv preprint arXiv:2410.02593},
year = {2024}
}