S Abinash ; T Kathiravan ; K Srilakshmi
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Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23
hrj:5827 -
Hardy-Ramanujan Journal,
May 21, 2020,
Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019
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https://doi.org/10.46298/hrj.2020.5827
Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23
Authors: S Abinash ; T Kathiravan ; K Srilakshmi
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.