Traces of Singular Moduli of Arbitrary Level Modular Functions

DOI10.1093/imrn/rnm110zbMath1206.11059OpenAlexW2011260634MaRDI QIDQ5439945

Soon-Yi Kang, Chang Heon Kim, Daeyeol Jeon, Dohoon Choi

Publication date: 30 January 2008

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnm110

zbMATH Keywords

congruence properties for traces of singular moduliholomorphic part of harmonic weak Maass form of weight 3/2modular traces of Hauptmodulweakly holomorphic generating seriesweakly holomorphic modular functionweight 3/2 Eisenstein series

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03) Congruences for modular and (p)-adic modular forms (11F33)

Related Items (7)

Bases of spaces of harmonic weak Maass forms and Shintani lifts of harmonic weak Maass forms ⋮ Sign-change of the Fourier coefficients of a Hauptmodul for Γ0(2) ⋮ Sign-periodicity of traces of singular moduli ⋮ Some remarks on Hurwitz-Kronecker class numbers and traces of singular moduli ⋮ Exact formulas for traces of singular moduli of higher level modular functions ⋮ Zagier-lift type arithmetic in harmonic weak Maass forms ⋮ Modularity of Galois traces of Weber's resolvents

This page was built for publication: Traces of Singular Moduli of Arbitrary Level Modular Functions