New congruences for \(t\)-core partitions and Andrews' singular overpartitions

DOI10.1016/j.jnt.2017.05.021zbMath1371.05019OpenAlexW2741370307MaRDI QIDQ2406363

S. N. Fathima, T. Kathiravan

Publication date: 27 September 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.05.021

zbMATH Keywords

congruence\(t\)-coresingular overpartitiondissection

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Cites Work

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• Congruences for Andrews' singular overpartitions
• Arithmetic properties of \(\ell\)-regular partitions
• New parity results for broken 11-diamond partitions
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• Some new congruences for Andrews' singular overpartitions
• Congruences for \(t\)-core partition functions
• Arithmetic properties of bipartitions with 3-cores
• Some amazing facts about \(4\)-cores
• Infinite families of arithmetic identities and congruences for bipartitions with 3-cores
• Cranks and t-cores
• More cranks andt-cores
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• New congruences for Andrews' singular overpartitions
• Some Congruences for Partitions that are p -Cores
• Parity results for broken 5-diamond, 7-diamond and 11-diamond partitions
• Some results on $3$-cores

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