Taylor coefficients of false Jacobi forms and ranks of unimodal sequences

DOI10.1016/j.aim.2023.109074arXiv2208.11942MaRDI QIDQ6103486

Kathrin Bringmann, Walter Bridges

Publication date: 5 June 2023

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

Full work available at URL: https://arxiv.org/abs/2208.11942

zbMATH Keywords

partitioncircle methodrankJacobi formunimodal sequencefalse theta function

Mathematics Subject Classification ID

Jacobi forms (11F50) Analytic theory of partitions (11P82)

Cites Work

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• Ramanujan-type partial theta identities and rank differences for special unimodal sequences
• Relations between the ranks and cranks of partitions
• The asymptotic distribution of the rank for unimodal sequences
• A framework for modular properties of false theta functions
• False theta functions and companions to Capparelli's identities
• On automorphic forms of negative dimension
• Taylor coefficients of mock-Jacobi forms and moments of partition statistics
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Asymptotics for rank and crank moments
• Peak positions of strongly unimodal sequences
• Dyson's Rank, Overpartitions, and Weak Maass Forms
• Ramanujan's Lost Notebook
• The rank of a unimodal sequence and a partial theta identity of Ramanujan
• STACKS (II)
• Some Properties of Partitions

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