NEW CONGRUENCES FOR ℓ-REGULAR OVERPARTITIONS

Authors

Ankita Jindal, Indian Statistical Institute (Delhi Centre)
Nabin K. Meher, Birla Institute of Technology and Science, Pilani

Article Type

Research Article

Publication Title

Journal of the Korean Mathematical Society

Abstract

For a positive integer (Formula presented) denotes the number of overpartitions of n into parts not divisible by ℓ. In this article, we find certain Ramanujan-type congruences for (Formula presented) when r {8,9} and we deduce infinite families of congruences for them. Furthermore, we also obtain Ramanujan-type congruences for (Formula presented) by using an algorithm developed by Radu and Sellers [15].

First Page

945

Last Page

962

DOI

10.4134/JKMS.j220011

Publication Date

9-1-2022

Recommended Citation

Jindal, Ankita and Meher, Nabin K., "NEW CONGRUENCES FOR ℓ-REGULAR OVERPARTITIONS" (2022). Journal Articles. 2975.
https://digitalcommons.isical.ac.in/journal-articles/2975