On ranks and cranks of partitions modulo 4 and 8
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Publication:1621411
DOI10.1016/J.JCTA.2018.07.009zbMath1400.05025arXiv1707.02674OpenAlexW2735841105WikidataQ129446357 ScholiaQ129446357MaRDI QIDQ1621411
Publication date: 8 November 2018
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.02674
Related Items (13)
Identities and inequalities for the \(M_2\)-rank of partitions without repeated odd parts modulo 8 ⋮ On cranks of partitions modulo 12 and 16 ⋮ Andrews-Beck type congruences modulo 2 and 4 for Beck's partition statistics ⋮ New equalities and inequalities for the ranks and cranks of partitions ⋮ Explicit congruences for \(k\)-marked Durfee symbols ⋮ FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS ⋮ Arithmetic properties of odd ranks and \(k\)-marked odd Durfee symbols ⋮ Four identities related to third-order mock theta functions ⋮ On three identities of Ramanujan ⋮ Identities, inequalities and congruences for odd ranks and \(k\)-marked odd Durfee symbols ⋮ Ranks, cranks for overpartitions and Appell-Lerch sums ⋮ On odd ranks of odd Durfee symbols ⋮ A mock theta function identity related to the partition rank modulo 3 and 9
Cites Work
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- The generating functions of the rank and crank modulo 8
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- On three third order mock theta functions and Hecke-type double sums
- Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
- Dyson’s crank of a partition
- On the Rank and the Crank Modulo 4 and 8
- FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS
- Ramanujan's Lost Notebook
- Some Properties of Partitions
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