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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.
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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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S Abinash, T Kathiravan, K Srilakshmi. Some New Congruences for l-Regular Partitions Modulo 13, 17, and 23. Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2020, Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019, ⟨10.46298/hrj.2020.5827⟩. ⟨hal-02301897v2⟩

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