Polynomial extension of stronger central set theorem near zero

Fuente: arXiv
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Auteurs principaux: Pal, Sujan, Pramanick, Anik
Format: Preprint
Publié: 2024
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author Pal, Sujan
Pramanick, Anik
author_facet Pal, Sujan
Pramanick, Anik
contents Furstenberg introduced the notion of Central sets in 1981. Later in 1990 V. Bergelson and N. Hindman proved a different but an equivalent version of the central set theorem. In 2008 D. De, N. Hindman and D. Strauss proved a stronger version of central sets theorem. Hindman and Leader first introduced the concept of near zero. Recently S. Goswami, L. Baglini and S. Patra did a polynomial extension of Stronger Central sets theorem in 2023. In this article, we proved the Polynomial stronger Central Sets Theorem near zero.
format Preprint
id arxiv_https___arxiv_org_abs_2403_03892
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Polynomial extension of stronger central set theorem near zero
Pal, Sujan
Pramanick, Anik
Combinatorics
Furstenberg introduced the notion of Central sets in 1981. Later in 1990 V. Bergelson and N. Hindman proved a different but an equivalent version of the central set theorem. In 2008 D. De, N. Hindman and D. Strauss proved a stronger version of central sets theorem. Hindman and Leader first introduced the concept of near zero. Recently S. Goswami, L. Baglini and S. Patra did a polynomial extension of Stronger Central sets theorem in 2023. In this article, we proved the Polynomial stronger Central Sets Theorem near zero.
title Polynomial extension of stronger central set theorem near zero
topic Combinatorics
url https://arxiv.org/abs/2403.03892