Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function

DOI10.1007/s40993-015-0011-9zbMath1379.11054arXiv1312.1943OpenAlexW2265137212WikidataQ59412173 ScholiaQ59412173MaRDI QIDQ895742

Scott Ahlgren, Nickolas Andersen

Publication date: 4 December 2015

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.1943

zbMATH Keywords

modular groupHecke-type relationsweak harmonic Maass forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Hecke-Petersson operators, differential operators (one variable) (11F25) Analytic theory of partitions (11P82)

Related Items (5)

Algebraic and transcendental formulas for the smallest parts function ⋮ Singular invariants and coefficients of harmonic weak Maass forms of weight \(5/2\) ⋮ A polyharmonic Maass form of depth 3/2 for \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Short proof of Rademacher's formula for partitions ⋮ Hybrid subconvexity and the partition function

Uses Software

• DLMF

Cites Work

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