Fourier coefficients of degree two Siegel-Eisenstein series with trivial character at squarefree level

DOI10.1007/s11139-014-9633-0zbMath1381.11034arXiv1310.1745OpenAlexW3104046501WikidataQ59409457 ScholiaQ59409457MaRDI QIDQ496348

Martin J. Dickson

Publication date: 21 September 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1745

zbMATH Keywords

Eisenstein seriesquadratic formstheta seriesFourier coefficientsSiegel modular forms

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 ⋮ Eigenform product identities of genus two Siegel modular forms of general congruence level ⋮ On the Fourier coefficients of Siegel Eisenstein series of degree 3 of an odd prime level with the quadratic character ⋮ Eigenform product identities for degree two Siegel modular forms

Cites Work

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• \(p\)-adic Siegel-Eisenstein series of degree two
• Hecke eigenvalues and relations for degree 2 Siegel Eisenstein series
• Fourier coefficients of Siegel-Eisenstein series of odd genus
• The theory of Jacobi forms
• An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• An explicit formula for local densities of quadratic forms
• Lifting modular forms of half-integral weight to Siegel modular forms of even genus
• Explicit action of Hecke operators on Siegel modular forms.
• Local densities of 2-adic quadratic forms
• Siegel modular forms and theta series attached to quaternion algebras
• A note on local densities of quadratic forms
• An Explicit Formula for Siegel Series
• An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree 3