An analog of crank for a certain kind of partition function arising from the cubic continued fraction

DOI10.4064/aa148-1-1zbMath1219.11154OpenAlexW2315057499MaRDI QIDQ5392123

Byungchan Kim

Publication date: 7 April 2011

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa148-1-1

zbMATH Keywords

crankcongruencescubic partitions

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11)

Related Items (18)

On the asymptotic distribution of cranks and ranks of cubic partitions ⋮ On certain weighted 7-colored partitions ⋮ Congruences for partition functions related to mock theta functions ⋮ Rank and crank analogs for some colored partitions ⋮ On partitions classified by smallest missing part ⋮ Some inequalities on cranks of cubic partitions modulo 4 and 6 ⋮ On the crank function of cubic partition pairs ⋮ Partition identities from third and sixth order mock theta functions ⋮ Some congruence properties of a restricted bipartition function \(c_N(n)\) ⋮ Congruences modulo powers of 2 for a certain partition function ⋮ Distribution of a certain partition function modulo powers of primes ⋮ Congruences for cubic partition pairs modulo powers of 3 ⋮ Arithmetic properties of a restricted bipartition function ⋮ Arithmetic properties of bipartitions with even parts distinct ⋮ CUBIC PARTITION PAIRS WEIGHTED BY THE PARITY OF THE CRANK ⋮ Multiranks and classical theta functions ⋮ THE RESTRICTED 3-COLORED PARTITION FUNCTION MOD 3 ⋮ Combinatorial proofs of the Ramanujan type congruences modulo \(3\)

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