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Arithmetic of the 13-regular partition function modulo 3

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Abstract

Let b 13(n) denote the number of 13-regular partitions of n. We study in this paper the behavior of b 13(n) modulo 3 where n≡1 (mod 3). In particular, we identify an infinite family of arithmetic progressions modulo arbitrary powers of 3 such that b 13(n)≡0 (mod 3).

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Authors and Affiliations

  1. Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA

    John J. Webb

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  1. John J. Webb
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Correspondence to John J. Webb.

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Webb, J.J. Arithmetic of the 13-regular partition function modulo 3. Ramanujan J 25, 49–56 (2011). https://doi.org/10.1007/s11139-010-9227-4

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  • DOI: https://doi.org/10.1007/s11139-010-9227-4

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