On the crank function of cubic partition pairs

DOI10.1007/s00026-018-0407-zzbMath1405.05014OpenAlexW2897083671MaRDI QIDQ1711004

Pee Choon Toh, Byungchan Kim

Publication date: 24 January 2019

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-018-0407-z

zbMATH Keywords

partitionscongruencesmodular formscubic partitionspartition crank

Mathematics Subject Classification ID

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

Related Items (5)

Several \(q\)-series related to Ramanujan's theta functions ⋮ Unnamed Item ⋮ On a sign pattern for the crank function of cubic partition pairs ⋮ Pairs of eta-quotients with dual weights and their applications ⋮ When is the derivative of an eta quotient another eta quotient?

Cites Work

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• Ramanujan type identities and congruences for partition pairs
• Ramanujan type congruences for a partition function
• Distribution of a certain partition function modulo powers of primes
• Partition statistics for cubic partition pairs
• Partitions weighted by the parity of the crank
• Some identities involving the partition function
• Tenth order mock theta functions in Ramanujan's lost notebook III
• ARITHMETIC PROPERTIES OF PARTITION QUADRUPLES WITH ODD PARTS DISTINCT
• 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
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• CUBIC PARTITION PAIRS WEIGHTED BY THE PARITY OF THE CRANK
• An analog of crank for a certain kind of partition function arising from the cubic continued fraction
• Generalized Lambert series identities

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