Overpartition rank differences modulo 7 by Maass forms
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Publication:5964543
DOI10.1016/j.jnt.2015.11.018zbMath1408.11103arXiv1601.06671OpenAlexW2963021763MaRDI QIDQ5964543
Publication date: 29 February 2016
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.06671
Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37)
Related Items (11)
Inequalities between overpartition ranks for all moduli ⋮ Transformation properties for Dyson’s rank function ⋮ The generating function of the $M_2$-rank of partitions without repeated odd parts as a mock modular form ⋮ Ranks of overpartitions modulo 6 and 10 ⋮ Rank differences for overpartitions modulo $6$ ⋮ Ranks of overpartitions modulo 4 and 8 ⋮ Variations of Andrews-Beck type congruences ⋮ Mock modularity of the \(M_{d}\)-rank of overpartitions ⋮ Monotonicity properties for ranks of overpartitions ⋮ Ranks, cranks for overpartitions and Appell-Lerch sums ⋮ Ranks of overpartitions: asymptotics and inequalities
Cites Work
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- Dyson's ranks and Maass forms
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- Rank and conjugation for the Frobenius representation of an overpartition
- Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
- The spt-crank for overpartitions
- Asymptotics for rank moments of overpartitions
- RANK DIFFERENCES FOR OVERPARTITIONS
- CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
- A Proof of some identities of Ramanujan using modular forms
- Dyson's Rank, Overpartitions, and Weak Maass Forms
- Generalized Lambert series identities
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