Maass lifts of half-integral weight Eisenstein series and theta powers

DOI10.2140/pjm.2022.321.1OpenAlexW4323063888MaRDI QIDQ2688051

Karam Deo Shankhadhar, Ajit Bhand, Ranveer Kumar Singh

Publication date: 8 March 2023

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07796

zbMATH Keywords

Eisenstein seriesmock modular formsharmonic Maass formstheta powers

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• Cycle integrals of the \(j\)-function and mock modular forms
• On two geometric theta lifts
• Modular forms of half integral weight, some explicit arithmetic
• Mock modular forms whose shadows are Eisenstein series of integral weight
• Harmonic Maass form eigencurves
• A Maass lifting of \(\theta^3\) and class numbers of real and imaginary quadratic fields
• Coefficients of Harmonic Maass Forms
• Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
• Special Values of Zeta Functions, and Eisenstein Series of Half Integral Weight
• Modular Forms
• Modular Forms

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