Cycle integrals of a sesqui-harmonic Maass form of weight zero

DOI10.1016/j.jnt.2014.01.008zbMath1322.11036arXiv1212.6695OpenAlexW2013521305MaRDI QIDQ402624

Soon-Yi Kang, Chang Heon Kim, Daeyeol Jeon

Publication date: 28 August 2014

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

Full work available at URL: https://arxiv.org/abs/1212.6695

zbMATH Keywords

cycle integralsharmonic weak Maass formsregularized inner productsesqui-harmonic Maass formstraces of singular moduli

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Automorphic forms, one variable (11F12)

Related Items (9)

Bases of spaces of harmonic weak Maass forms and Shintani lifts of harmonic weak Maass forms ⋮ KRONECKER LIMIT FUNCTIONS AND AN EXTENSION OF THE ROHRLICH–JENSEN FORMULA ⋮ Shintani lifts of nearly holomorphic modular forms ⋮ Weak Maass-Poincaré series and weight 3/2 mock modular forms ⋮ Zagier-lift type arithmetic in harmonic weak Maass forms ⋮ Polyharmonic weak Maass forms of higher depth for \(\mathrm{SL}_2(\mathbb{Z})\) ⋮ Shimura's vector-valued modular forms, weight changing operators, and Laplacians ⋮ Traces of CM values and cycle integrals of polyharmonic Maass forms ⋮ Divisibility properties of the Fourier coefficients of (mock) modular functions and Ramanujan

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