Congruences for partition functions related to mock theta functions

TL;DR

This paper explores new congruences for partition functions connected to mock theta functions, building on recent work that derived identities and Ramanujan-type congruences, thus advancing understanding in this area of number theory.

Contribution

It introduces novel congruences for partition functions related to mock theta functions, expanding upon recent identities and Ramanujan-type congruences.

Findings

New congruences for partition functions associated with mock theta functions

Extension of recent identities and Ramanujan-type congruences

Contributions to the theory of partitions and mock theta functions

Abstract

Partitions associated with mock theta functions have received a great deal of attention in the literature. Recently, Choi and Kim derived several partition identities from the third and sixth order mock theta functions. In addition, three Ramanujan-type congruences were established by them. In this paper, we present some new congruences for these partition functions.