Valence formulas for certain arithmetic groups and their applications

DOI10.1016/j.jmaa.2014.05.051zbMath1317.11040OpenAlexW1974492562MaRDI QIDQ2252082

Chang Heon Kim, So Young Choi

Publication date: 16 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.05.051

zbMATH Keywords

Poincaré seriesharmonic weak Maass formsmeromorphic modular formvalence formula

Mathematics Subject Classification ID

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

Related Items (5)

On the zeros of certain weakly holomorphic modular forms for \(\operatorname{\Gamma}_0^+(2)\) ⋮ Linear relations among half-integral weight Poincaré series ⋮ A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic ⋮ A note on the non-vanishing of Poincaré series for the Fricke group \(\Gamma_0^+(p)\) ⋮ Mock period functions in higher level cases

Cites Work

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• Über automorphe Formen mit Singularitäten im Diskontinuitätsgebiet
• Differential operators for harmonic weak Maass forms and the vanishing of Hecke eigenvalues
• On two geometric theta lifts
• Linear relations among Poincaré series via harmonic weak Maass forms
• Basis for the space of weakly holomorphic modular forms in higher level cases
• ``Moonshine of finite groups.
• On the infinite product exponents of meromorphic modular forms for certain arithmetic groups
• The arithmetic of the values of modular functions and the divisors of modular forms

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