Ramanujan-type congruences modulo 8 for 7- and 23-core partition functions
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Publication:1991663
DOI10.1007/s11139-017-9898-1zbMath1461.11136OpenAlexW2609235032MaRDI QIDQ1991663
Ernest X. W. Xia, Olivia X. M. Yao
Publication date: 30 October 2018
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-017-9898-1
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Cites Work
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- Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
- Congruences for \(t\)-core partition functions
- On the distribution of \(2^t\)-core partitions modulo \(2^j\)
- Modular forms whose coefficients possess multiplicative properties
- New analogues of Ramanujan's partition identities
- Arithmetical properties of the number of \(t\)-core partitions
- Some parity results for 16-cores
- Some amazing facts about \(4\)-cores
- Cranks and t-cores
- Parity results for broken k-diamond partitions and (2k+1)-cores
- ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
- THE CASE OF THE MYSTERIOUS SEVENS
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