Hardy Ramanujan Journal |

A partition of n is l-regular if none of its parts is divisible by l. Let b l (n) denote the number of l-regular partitions of n. In this paper, using theta function identities due to Ramanujan, we establish some new infinite families of congruences for b l (n) modulo l, where l = 17, 23, and for b 65 (n) modulo 13.

Source : oai:HAL:hal-02301897v2

Volume: Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019

Published on: May 21, 2020

Submitted on: October 10, 2019

Keywords: 05A17,congruences,l-regular partitions,theta function identities 2010 Mathematics Subject Classification 11P83,[MATH]Mathematics [math],[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]

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