THE CASE OF THE MYSTERIOUS SEVENS

DOI10.1142/S1793042106000486zbMath1116.11083OpenAlexW1987890807MaRDI QIDQ5483362

Michael D. Hirschhorn

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1142/s1793042106000486

zbMATH Keywords

partitionsmodular equationq-seriesdistinct parts

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Elementary theory of partitions (11P81)

Related Items (9)

Partition identities and Ramanujan's modular equations ⋮ Analogues of Ramanujan's partition identities ⋮ Identities for partitions with distinct colors ⋮ General colored partition identities ⋮ A generalization of the modular equations of higher degrees ⋮ Color partition identities arising from Ramanujan's theta-functions ⋮ Ramanujan-type congruences modulo 8 for 7- and 23-core partition functions ⋮ Congruences for broken 3-diamond and 7 dots bracelet partitions ⋮ Bijective proofs of partition identities arising from modular equations

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