Congruences for the coefficients of the powers of the Euler product
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Publication:2181589
DOI10.1007/s11139-019-00179-4zbMath1445.11118arXiv1802.01374OpenAlexW2975773228WikidataQ127197654 ScholiaQ127197654MaRDI QIDQ2181589
Julia Q. D. Du, Edward Y. S. Liu, Jack C. D. Zhao
Publication date: 19 May 2020
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.01374
Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
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Cites Work
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- Arithmetic properties of partitions with even parts distinct
- Congruences for \(t\)-core partition functions
- Congruence properties for a certain kind of partition functions
- Some parity results for 16-cores
- Congruences related to the Ramanujan/Watson mock theta functions \(\omega (q)\) and \(\nu (q)\)
- Overpartition function modulo powers of 2
- The overpartition function modulo small powers of 2
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- Some amazing facts about \(4\)-cores
- Hecke operators on \(\Gamma_0(m)\)
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- 4-core partitions and class numbers
- Some Congruences for Partitions that are p -Cores
- Overpartitions
- Proof of a conjecture of Hirschhorn and Sellers on overpartitions
- CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS
- An Identity for the Coefficients of Certain Modular Forms
- Congruences for 9-regular partitions modulo 3
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