10.46298/hrj.2020.5827
https://hrj.episciences.org/5827
Abinash, S
S
Abinash
Kathiravan, T
T
Kathiravan
Srilakshmi, K
K
Srilakshmi
Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23
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.
episciences.org
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]
2020-05-21
2020-05-21
2020-05-21
en
journal article
https://hal.archives-ouvertes.fr/hal-02301897v2
2804-7370
https://hrj.episciences.org/5827/pdf
VoR
application/pdf
Hardy-Ramanujan Journal
Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019
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