ARITHMETIC TRACES OF NON-HOLOMORPHIC MODULAR INVARIANTS

DOI10.1142/S1793042110002818zbMath1245.11061MaRDI QIDQ5306067

Aaron Pixton, Alison Beth Miller

Publication date: 29 March 2010

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

zbMATH Keywords

Poincaré seriesMaass formssingular modulihalf-integral weight modular forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30) Modular correspondences, etc. (11F32)

Related Items (16)

Average CM-values of higher Green's function and factorization ⋮ Bases of spaces of harmonic weak Maass forms and Shintani lifts of harmonic weak Maass forms ⋮ Elliptic curves and Thompson's sporadic simple group ⋮ Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series ⋮ Some remarks on Hurwitz-Kronecker class numbers and traces of singular moduli ⋮ Weierstrass mock modular forms and elliptic curves ⋮ The asymptotic distribution of traces of Maass-Poincaré series ⋮ Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms ⋮ Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms ⋮ On 𝑝-adic harmonic Maass functions ⋮ Weak Maass-Poincaré series and weight 3/2 mock modular forms ⋮ Integral traces of weak Maass forms of genus zero odd prime level ⋮ Formulas for the coefficients of half-integral weight harmonic Maaß forms ⋮ Zagier-lift type arithmetic in harmonic weak Maass forms ⋮ On Fourier coefficients of Niebur Poincaré series ⋮ Traces of singular values of Hauptmoduln

Cites Work

• Fourier coefficients and modular forms of half-integral weight
• Arithmetic properties of coefficients of half-integral weight Maass-Poincaré series
• On modular forms of half integral weight

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