An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels

DOI10.1007/s00209-008-0442-2zbMath1234.11057OpenAlexW2079475921MaRDI QIDQ1038694

Yoshinori Mizuno

Publication date: 20 November 2009

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0442-2

zbMATH Keywords

Siegel-Eisenstein seriesFourier-Jacobi expansionFourier coefficientsKoecher-Mass seriesMaass condition

Mathematics Subject Classification ID

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

Related Items

On the Fourier coefficients of the Siegel Eisenstein series of odd level and the genus theta series, Fourier coefficients of the Siegel Eisenstein series of degree 2 with odd prime level, corresponding to the middle cusp, On the Fourier coefficients of Siegel-Eisenstein series of degree 2 for odd level, A characterization of Jacobi cusp forms of certain types, \(p\)-adic Siegel-Eisenstein series of degree two, Siegel Eisenstein series of level two and its applications, Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series, Fourier coefficients of degree two Siegel-Eisenstein series with trivial character at squarefree level, On the Siegel Eisenstein series of degree two for low weights, Siegel Eisenstein series of degree \(n\) and \(\lambda\)-adic Eisenstein series, A study on twisted Koecher-Maass series of Siegel cusp forms via an integral kernel, 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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