Transformation properties for Dyson’s rank function

DOI10.1090/tran/7219zbMath1469.11404arXiv1601.05781OpenAlexW2964085630MaRDI QIDQ4561798

Frank G. Garvan

Publication date: 13 December 2018

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

Full work available at URL: https://arxiv.org/abs/1601.05781

zbMATH Keywords

partitionsmock theta functionsMaass formsMordell integralDyson's rank function

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11) Analytic theory of partitions (11P82) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (5)

Vector-valued modular forms and the mock theta conjectures ⋮ On cranks of partitions modulo 12 and 16 ⋮ A new approach to the Dyson rank conjectures ⋮ Variations of Andrews-Beck type congruences ⋮ Mock modularity of the \(M_{d}\)-rank of overpartitions

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