Multidimensional central sets theorem near zero

2024/10/03 by Pramanick, Anik, Saikh, Md Mursalim
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.02593

Abstract

In [B] Beiglböck 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.

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