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Broken 2-diamond partitions modulo 5

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Abstract

We consider \(\Delta _2(n)\), the number of broken 2-diamond partitions of n, and give simple proofs of two congruences given by Song Heng Chan.

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References

  1. Andrews, G.E., Paule, P.: MacMahon’s partition analysis XI, broken diamonds and modular forms. Acta Arith. 126(3), 281–294 (2007)

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  3. Hirschhorn, M.D.: The power of \(q\). Springer (to appear)

  4. Radu, C.-S.: An algorithmic approach to Ramanujan–Kolberg identities. J. Symb. Comput. 68(1), 225–253 (2015)

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Authors and Affiliations

  1. School of Mathematics and Statistics, UNSW, Sydney, NSW, 2052, Australia

    Michael D. Hirschhorn

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  1. Michael D. Hirschhorn
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Correspondence to Michael D. Hirschhorn.

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Hirschhorn, M.D. Broken 2-diamond partitions modulo 5. Ramanujan J 45, 517–520 (2018). https://doi.org/10.1007/s11139-016-9863-4

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  • DOI: https://doi.org/10.1007/s11139-016-9863-4

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