New congruences for \(k\)-tuples \(t\)-core partitions

DOI10.1007/S41478-017-0065-2zbMath1390.05022OpenAlexW2780688394MaRDI QIDQ1651993

Nipen Saikia, Chayanika Boruah

Publication date: 11 July 2018

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-017-0065-2

zbMATH Keywords

\(k\)-tuple\(t\)-core partition\(q\)-series identitiespartition congruence

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Congruences; primitive roots; residue systems (11A07)

Related Items (2)

Arithmetic properties of 5-tuple partitions with 3-cores ⋮ Some properties of \(k\)-tuple \(t\)-core partitions

Cites Work

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• Analogues of Ramanujan's partition identities
• Identities and congruences for the general partition and Ramanujan's tau functions
• Congruences modulo 9 and 27 for overpartitions
• Congruences for \(t\)-core partition functions
• Infinite families of arithmetic identities and congruences for bipartitions with 3-cores
• Congruences modulo \(p^2\) and \(p^3\) for \(k\) dots bracelet partitions with \(k = m p^s\)
• Arithmetic identities and congruences for partition triples with 3-cores
• IDENTITIES FOR SELF-CONJUGATE 7- AND 9-CORE PARTITIONS
• SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION
• ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
• INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES
• Some results on $3$-cores
• Formulas for partition \(k\)-tuples with \(t\)-cores

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