On the generating function of a canonical basis for \(M_{0}^{!,\infty }(\Gamma)\)

DOI10.1007/s00025-019-1001-3zbMath1444.11059OpenAlexW2921840755MaRDI QIDQ2422176

Dongxi Ye

Publication date: 18 June 2019

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

Full work available at URL: https://doi.org/10.1007/s00025-019-1001-3

zbMATH Keywords

automorphic Green functionsFuchsian subgroupsweakly holomorphic modular functions

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11)

Related Items

On a conjecture of Chen and Yui: Resultants and discriminants ⋮ On a conjecture of Chen and Yui: Fricke groups ⋮ The Hecke system of harmonic Maass functions and applications to modular curves of higher genera ⋮ The arithmetic of modular grids ⋮ Hecke equivariance of generalized Borcherds products of type \(O(2,1)\) ⋮ Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Heegner points and derivatives of \(L\)-series
• Automorphic forms with singularities on Grassmannians
• The theta-operator and the divisors of modular forms on genus zero subgroups
• On divisors of modular forms
• Difference of a hauptmodul for \(\Gamma_0 (N)\) and certain Gross-Zagier type CM value formulas
• Poincaré series and the divisors of modular forms
• Fourier coefficients of the resolvent for a Fuchsian group.
• A class of nonanalytic automorphic functions
• The arithmetic of the values of modular functions and the divisors of modular forms
• Traces of singular values of Hauptmoduln