Some congruences modulo 2 and 5 for bipartition with 5-core

DOI10.1016/j.ajmsc.2016.05.003zbMath1413.11117OpenAlexW2417584737MaRDI QIDQ2359815

Chayanika Boruah, Nipen Saikia

Publication date: 23 June 2017

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2016.05.003

zbMATH Keywords

bipartitionpartition congruence5-core partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (1)

Arithmetic properties of 5-tuple partitions with 3-cores

Cites Work

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• Identities and congruences for the general partition and Ramanujan's tau functions
• Arithmetic properties of \(\ell\)-regular partitions
• Arithmetic properties of bipartitions with 3-cores
• Some results on bipartitions with 3-core
• Infinite families of arithmetic identities and congruences for bipartitions with 3-cores
• INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS

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