Exact formulas for traces of singular moduli of higher level modular functions

DOI10.1016/j.jnt.2007.04.002zbMath1145.11037arXivmath/0701908OpenAlexW2068528163MaRDI QIDQ2474308

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

Publication date: 5 March 2008

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

Full work available at URL: https://arxiv.org/abs/math/0701908

zbMATH Keywords

trace of singular modulimodular functions of prime level

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03)

Related Items (6)

Bases of spaces of harmonic weak Maass forms and Shintani lifts of harmonic weak Maass forms ⋮ Niebur-Poincaré series and traces of singular moduli ⋮ Some remarks on Hurwitz-Kronecker class numbers and traces of singular moduli ⋮ Arithmetic formulas for the Fourier coefficients of Hauptmoduln of level 2, 3, and 5 ⋮ ARITHMETIC PROPERTIES OF TRACES OF SINGULAR MODULI ON CONGRUENCE SUBGROUPS ⋮ Zagier-lift type arithmetic in harmonic weak Maass forms

Cites Work

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• Modular functions and the uniform distribution of CM points
• Hilbert class polynomials and traces of singular moduli
• Equidistribution of roots of a quadratic congruence to prime moduli
• TRACES OF SINGULAR VALUES AND BORCHERDS PRODUCTS
• A class of nonanalytic automorphic functions
• Borcherds products associated with certain Thompson series
• Traces of Singular Moduli of Arbitrary Level Modular Functions
• Traces of CM values of modular functions

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