Congruences for simultaneously s-regular and t-regular partition function

Pujashree Buragohain; Nipen Saikia

doi:10.5269/bspm.68794

Pujashree Buragohain Rajiv Gandhi University
Nipen Saikia Rajiv Gandhi University

Abstract

A partition of a positive integer $n$ is said to be simultaneously $s$-regular and $t$-regular partition if none of the parts are divisible by $s$ and $t$. In this paper, we establish many infinite families of congruences for simultaneously $s$-regular and $t$-regular partition function by considering some particular values of $s$ and $t$.

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