\(M_2\)-ranks of overpartitions modulo 6 and 10
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Publication:2303450
DOI10.1007/s11139-018-0126-4zbMath1440.11192arXiv1805.03780OpenAlexW2963369963MaRDI QIDQ2303450
Publication date: 3 March 2020
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.03780
modular functionmock theta function\(M_2\)-rankoverpartitionrank differencegeneralized \(\eta \)-function
Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)
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Cites Work
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- Ranks of partitions modulo 10
- Rank and conjugation for a second Frobenius representation of an overpartition
- On the seventh order mock theta functions
- Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
- On some relations for the rank moduli 9 and 12
- Tenth order mock theta functions in Ramanujan's lost notebook
- The ranks of partitions modulo 2
- The ranks and cranks of partitions moduli 2, 3, and 4
- Note on the monotonicity of coefficients for some \(q\)-series arising from Ramanujan's lost notebook
- Higher order SPT functions for overpartitions, overpartitions with smallest part even, and partitions with smallest part even and without repeated odd parts
- The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10
- Rank and conjugation for the Frobenius representation of an overpartition
- Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
- M2-rank differences for overpartitions
- Some Properties of Partitions
- On the Ranks of Partitions Modulo 9
- RANK DIFFERENCES FOR OVERPARTITIONS
- New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
- Overpartitions
- Generalized Lambert series identities
- Some Properties of Partitions
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