Polynomial extension of stronger central set theorem near zero

2024/03/06 by Sujan Pal, Pal, Sujan, Pramanick, Anik
Computer Science · Engineering · #Polynomial and algebraic computation #Optimization and Variational Analysis #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.2403.03892

Abstract

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.

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