Arithmetic properties of Ramanujan's general partition function for modulo 11

Abstract

In the present work, for the general partition function $p_k(n)$, we establish five new infinite families of congruences. Our emphasis throughout this paper is to exhibit the use of $q$-identities to generate congruences for the general partition function.

Keywords

• General partitions
• theta-functions
• $q$-identities.