Arithmetic properties of odd ranks and \(k\)-marked odd Durfee symbols
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Publication:2221766
DOI10.1016/j.aam.2020.102098zbMath1457.05011arXiv1712.09290OpenAlexW3068227317MaRDI QIDQ2221766
Publication date: 2 February 2021
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.09290
Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items (4)
Sign changes of coefficients of powers of the infinite Borwein product ⋮ Explicit congruences for \(k\)-marked Durfee symbols ⋮ Identities, inequalities and congruences for odd ranks and \(k\)-marked odd Durfee symbols ⋮ On odd ranks of odd Durfee symbols
Cites Work
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- New congruences for partitions related to mock theta functions
- Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
- On the explicit construction of higher deformations of partition statistics
- Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
- Relations between the ranks and cranks of partitions
- On ranks and cranks of partitions modulo 4 and 8
- Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\)
- On three third order mock theta functions and Hecke-type double sums
- Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I
- The combinatorics of $k$-marked Durfee symbols
- On certain explicit congruences for mock theta functions
- Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
- Dyson’s crank of a partition
- On the Rank and the Crank Modulo 4 and 8
- FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS
- The Final Problem : An Account of the Mock Theta Functions
- Some Properties of Partitions
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