Odd-balanced unimodal sequences and related functions: parity, mock modularity and quantum modularity

DOI10.1090/proc/13027zbMath1404.11052OpenAlexW2327787291MaRDI QIDQ2814393

Jeremy Lovejoy, Byungchan Kim, Subong Lim

Publication date: 22 June 2016

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

Full work available at URL: https://doi.org/10.1090/proc/13027

zbMATH Keywords

mock theta functionscongruencesrankquantum modular formsunimodal sequences

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (13)

Quantum modularity of partial theta series with periodic coefficients ⋮ An analogue of $k$-marked Durfee symbols for strongly unimodal sequences ⋮ Limit laws for rational continued fractions and value distribution of quantum modular forms ⋮ RANK GENERATING FUNCTIONS FOR ODD-BALANCED UNIMODAL SEQUENCES, QUANTUM JACOBI FORMS, AND MOCK JACOBI FORMS ⋮ Quantum Jacobi forms and balanced unimodal sequences ⋮ On some double-sum false theta series ⋮ Combinatorial proof of a partial theta function identity of Warnaar ⋮ Asymptotic distribution of odd balanced unimodal sequences with rank congruent to \(a\) modulo \(c\) ⋮ Unimodal sequence generating functions arising from partition ranks ⋮ Universal mock theta functions as quantum Jacobi forms ⋮ Quantum Jacobi forms in number theory, topology, and mathematical physics ⋮ CONGRUENCES MODULO 4 FOR WEIGHT ETA-PRODUCTS ⋮ A proof of the mod 4 unimodal sequence conjectures and related mock theta functions

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