q-series and weight 3/2 Maass forms

DOI10.1112/S0010437X09004072zbMath1233.11048OpenAlexW2094016846MaRDI QIDQ3636886

Amanda Folsom, Kathrin Bringmann, Ken Ono

Publication date: 30 June 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x09004072

zbMATH Keywords

mock modular formssmallest parts functionharmonic Maass formsZagier-Eisenstein seriesRogers-Fine

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (7)

ARITHMETIC PROPERTIES OF CERTAIN LEVEL ONE MOCK MODULAR FORMS ⋮ Congruences for the Andrews spt function ⋮ Algebraic formulas for the coefficients of mock theta functions and Weyl vectors of Borcherds products ⋮ Duality and Differential Operators for Harmonic Maass Forms ⋮ Arithmetic properties of non-harmonic weak Maass forms ⋮ Universal mock theta functions as quantum Jacobi forms ⋮ Mock modular forms with integral Fourier coefficients

Cites Work

• On the explicit construction of higher deformations of partition statistics
• Ramanujan's lost notebook. V: Euler's partition identity
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• Partitions: At the interface of \(q\)-series and modular forms
• On two geometric theta lifts
• The \(f(q)\) mock theta function conjecture and partition ranks
• On modular forms of half integral weight
• Eulerian series as modular forms

This page was built for publication: q-series and weight 3/2 Maass forms