Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc.

Published online April 5, 2022

Copyright © The Korean Mathematical Society.

On $3^k$-regular cubic partitions

Nayandeep Deka Baruah and Hirakjyoti Das

Tezpur University, Napaam, Assam, India

Abstract

Recently, Gireesh, Shivashankar, and Naika [12] found some infinite classes of congruences for the 3- and the 9-regular cubic partitions modulo powers of 3. We extend their study to all the $3^k$-regular cubic partitions. We also find new families of congruences.

Keywords: Congruence, m-regular cubic partition

MSC numbers: 05A17, 11P83

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