Some Properties of Partitions

DOI10.2307/1993139zbMath0083.26201OpenAlexW4253605078MaRDI QIDQ3253150

A. O. L. Atkin, S. M. Hussain

Publication date: 1958

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1993139

zbMATH Keywords

partition functioncongruences

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83)

Related Items (17)

Proof of a conjecture of Ramanujan ⋮ \(M_2\)-ranks of overpartitions modulo 4 and 8 ⋮ Inequalities between overpartition ranks for all moduli ⋮ Transformation properties for Dyson’s rank function ⋮ Ranks of overpartitions modulo 6 and 10 ⋮ New equalities and inequalities for the ranks and cranks of partitions ⋮ FOUR IDENTITIES FOR THIRD ORDER MOCK THETA FUNCTIONS ⋮ The crank of partitions mod 13 ⋮ The number of smallest parts in the partitions of n ⋮ Ranks of overpartitions modulo 4 and 8 ⋮ Evaluation of determinant of 11th order in the theory of partitions ⋮ The rank and crank of partitions modulo 3 ⋮ \(M_2\)-ranks of overpartitions modulo 6 and 10 ⋮ \(M_2\)-rank differences for partitions without repeated odd parts ⋮ Ranks, cranks for overpartitions and Appell-Lerch sums ⋮ Distribution of the full rank in residue classes for odd moduli ⋮ A mock theta function identity related to the partition rank modulo 3 and 9

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