Mock modular grids and Hecke relations for mock modular forms

DOI10.1515/forum-2012-0011zbMath1297.11029OpenAlexW2065270003MaRDI QIDQ3189528

Byungchan Kim, Scott Ahlgren

Publication date: 11 September 2014

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2012-0011

zbMATH Keywords

Hecke relationmock theta functionmock modular formsmallest parts functionmock modular grid

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Related Items (10)

\(p\)-adic properties of coefficients of certain half-integral weight modular forms ⋮ Congruences for \(\overline{\operatorname{spt}}_\omega(n)\) modulo powers of primes ⋮ Effective estimates for the smallest parts function ⋮ The arithmetic of modular grids ⋮ Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function ⋮ Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms ⋮ Congruences for Andrews-Beck partition statistics modulo powers of primes ⋮ Algebraic and transcendental formulas for the smallest parts function ⋮ Congruences for a mock modular form on \(\mathrm{SL}_2(\mathbb{Z})\) and the smallest parts function ⋮ Euler-like recurrences for smallest parts functions

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