A NOTE ON FOURIER COEFFICIENTS OF POINCARÉ SERIES

DOI10.1112/S0025579310001804zbMath1220.11063arXiv1008.2288MaRDI QIDQ3074002

Jacob Tsimerman, Abhishek Saha, Emmanuel Kowalski

Publication date: 14 February 2011

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2288

zbMATH Keywords

modular formsFourier coefficientsorthogonality

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (7)

Almost holomorphic Poincaré series corresponding to products of harmonic Siegel-Maass forms ⋮ On the distribution of Satake parameters for Siegel modular forms ⋮ On a family of Siegel Poincaré series ⋮ Jacobi forms, Saito-Kurokawa lifts, their pullbacks and sup-norms on average ⋮ Local spectral equidistribution for Siegel modular forms and applications ⋮ Non-vanishing of Hilbert Poincaré series ⋮ Local spectral equidistribution for degree two Siegel modular forms in level and weight aspects

Cites Work

• Explizite Bestimmung der Randflächen des Fundamentalbereiches der Modulgruppe zweiten Grades
• Über die Darstellung der Modulformen \(n\)-ten Grades durch Poincarésche Reihen. (On the representation of modular forms of \(n\)th degree by Poincaré series)
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝

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