Some properties of \(k\)-tuple \(t\)-core partitions

DOI10.1007/s11139-020-00351-1zbMath1495.11120OpenAlexW3134515365MaRDI QIDQ2240505

Ranganatha Dasappa

Publication date: 4 November 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00351-1

zbMATH Keywords

theta functionspartition congruences\(t\)-core partitions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

Cites Work

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• Explicit formulas for partition pairs and triples with 3-cores
• Arithmetic properties of bipartitions with 3-cores
• New congruences for \(k\)-tuples \(t\)-core partitions
• On 3-regular tripartitions
• Some results on bipartitions with 3-core
• Infinite families of arithmetic identities and congruences for bipartitions with 3-cores
• The power of \(q\). A personal journey
• Cranks and t-cores
• Arithmetic identities and congruences for partition triples with 3-cores
• INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES
• Formulas for partition \(k\)-tuples with \(t\)-cores

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