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Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23
Abstract : 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.
Cited literature [33 references]
https://hal.archives-ouvertes.fr/hal-02301897
Contributor : Abinash Sarma Connect in order to contact the contributor
Submitted on : Thursday, April 30, 2020 - 4:05:58 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
Contributor : Abinash Sarma Connect in order to contact the contributor
Submitted on : Thursday, April 30, 2020 - 4:05:58 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
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