Eichler-Selberg type identities for mixed mock modular forms

DOI10.1016/j.aim.2016.06.016zbMath1404.11054arXiv1404.5491OpenAlexW2952855082MaRDI QIDQ305720

Michael H. Mertens

Publication date: 30 August 2016

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

Full work available at URL: https://arxiv.org/abs/1404.5491

zbMATH Keywords

trace formulamock theta functionAppell-Lerch sum(mixed) mock modular formholomorphic projection

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27)

Related Items (17)

Proof of the umbral moonshine conjecture ⋮ Higher Siegel theta lifts on Lorentzian lattices, harmonic Maass forms, and Eichler-Selberg type relations ⋮ Theta lifts for Lorentzian lattices and coefficients of mock theta functions ⋮ Polar harmonic Maaß forms and holomorphic projection ⋮ Local Maass forms and Eichler-Selberg relations for negative-weight vector-valued mock modular forms ⋮ Distribution of moments of Hurwitz class numbers in arithmetic progressions and holomorphic projection ⋮ Formulas for moments of class numbers in arithmetic progressions ⋮ On recursions for coefficients of mock theta functions ⋮ Asymptotic bounds for special values of shifted convolution Dirichlet series ⋮ A proof of the Thompson moonshine conjecture ⋮ Optimal estimates for an average of Hurwitz class numbers ⋮ Congruences for a mock modular form on \(\mathrm{SL}_2(\mathbb{Z})\) and the smallest parts function ⋮ Perspectives on mock modular forms ⋮ Vector-valued Hirzebruch-Zagier series and class number sums ⋮ Mock modular Eisenstein series with Nebentypus ⋮ Constructing modular forms from harmonic Maass Jacobi forms ⋮ Quasimodular moonshine and arithmetic connections

Uses Software

• LMFDB

Cites Work

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