A short and simple proof of Ramanujan's \(\mod 11\) partition congruence

DOI10.1016/j.jnt.2013.12.014zbMath1291.11128OpenAlexW2166145568MaRDI QIDQ2017210

Michael D. Hirschhorn

Publication date: 25 June 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.12.014

zbMATH Keywords

Ramanujanpartition identitypartition congruence

Mathematics Subject Classification ID

Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items

Ramanujan-style proof of \(p_{-3}(11n+7) \equiv 0 \pmod{11}\), An invitation to formal power series, Fractional powers of the generating function for the partition function, On 3-regular tripartitions, Computer-assisted proofs of congruences for multipartitions and divisor function convolutions, based on methods of differential algebra

Cites Work

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• Another elementary proof that \(p(11n+6)\equiv 0\pmod{11}\)
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• Ramanujan's Lost Notebook