Polynomial extension of stronger central set theorem near zero

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.