Arithmetic properties of bipartitions with even parts distinct

DOI10.1007/s11139-013-9473-3zbMath1298.05033OpenAlexW2091396941MaRDI QIDQ744831

Bernard L. S. Lin

Publication date: 26 September 2014

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

Full work available at URL: https://doi.org/10.1007/s11139-013-9473-3

zbMATH Keywords

generating functionmodular formscongruencebipartitiondistinct even parts

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

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Cites Work

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• Ramanujan type identities and congruences for partition pairs
• Pairs of partitions without repeated odd parts
• Overpartition pairs modulo powers of 2
• Congruences for bipartitions with odd parts distinct
• Arithmetic properties of partitions with even parts distinct
• New analogues of Ramanujan's partition identities
• Arithmetic properties of partitions with odd parts distinct
• Quadratic Forms and Four Partition Functions Modulo 3
• Arithmetic properties of overpartition pairs
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION
• An analog of crank for a certain kind of partition function arising from the cubic continued fraction