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

Authors

  • Srivatsa Kumar Belakavadi Radhakrishna Manipal Institute of Technology, Manipal
  • Ramakrishna Narendra
  • Karpenahalli R Rajanna

DOI:

https://doi.org/10.48129/kjs.v48i1.8827

Keywords:

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

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.

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Published

2020-12-23