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Estimates of Fourier Coefficients of Siegel Cusp Forms for Subgroups and in the Case of Small Weight
Author(s) -
Bringmann Kathrin
Publication year - 2006
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705022398
Subject(s) - siegel modular form , cusp (singularity) , cusp form , mathematics , fourier series , modular group , group (periodic table) , fourier transform , pure mathematics , modular form , combinatorics , mathematical analysis , geometry , chemistry , organic chemistry
Here we develop estimates for Fourier coefficients of Siegel cusp forms. First we consider the case of Siegel modular forms for the full modular group Γ g having small weight (that is, weight k = g + 1). Afterwards the case of a certain subgroup Γ g ,0 ( N ) of Γ g is considered.