CHARACTERIZING ADELIC HILBERT MODULAR CUSP FORMS BY COEFFICIENT SIZE

DOI10.2206/kyushujm.68.105zbMath1291.11086arXiv1205.4063OpenAlexW1989389053MaRDI QIDQ5419371

Benjamin Linowitz

Publication date: 6 June 2014

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4063

zbMATH Keywords

Eisenstein seriesFourier coefficientHilbert modular form

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (7)

Cuspidality and the growth of Fourier coefficients of modular forms: a survey ⋮ Cuspidality and the growth of Fourier coefficients: small weights ⋮ Cuspidality and the growth of Fourier coefficients of modular forms ⋮ ON THE FOURIER COEFFICIENTS OF SIEGEL MODULAR FORMS ⋮ Hecke bound of vector-valued modular forms and its relationship with cuspidality ⋮ Characterization of Siegel cusp forms by the growth of their Fourier coefficients ⋮ Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound

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