A proof of the mod 4 unimodal sequence conjectures and related mock theta functions

DOI10.1016/j.aim.2022.108235zbMath1491.11042arXiv2010.14315OpenAlexW3097973582WikidataQ123328362 ScholiaQ123328362MaRDI QIDQ2078874

Frank G. Garvan, Rong Chen

Publication date: 4 March 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.14315

zbMATH Keywords

mock-theta functionsunimodal sequencesHurwitz class numberAndrews spt-functionHecke-Rogers series

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences for modular and (p)-adic modular forms (11F33) Elementary theory of partitions (11P81) Class numbers of quadratic and Hermitian forms (11E41) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (2)

Bailey pairs and indefinite quadratic forms. II: False indefinite theta functions ⋮ Congruence modulo 4 for Andrews' even parts below odd parts partition function

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