The Rankin-Selberg convolution for Cohen's Eisenstein series of half integral weight

DOI10.1007/BF02942033zbMath1082.11025MaRDI QIDQ2581041

Yanyan Li

Publication date: 10 January 2006

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

Eisenstein serieshalf-integral weightquadratic fieldsSiegel-Eisenstein seriesRankin-Selberg methodKoecher-Maas series

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Automorphic forms, one variable (11F12)

Related Items (6)

Petersson norms of Eisenstein series and Kohnen-Zagier's formula ⋮ On Dirichlet series and Petersson products for Siegel modular forms ⋮ Petersson scalar products and \(L\)-functions arising from modular forms ⋮ Petersson norms of not necessarily cuspidal Jacobi modular forms and applications ⋮ The skew-Maass lift. I: The case of harmonic Maass-Jacobi forms ⋮ An explicit arithmetic formula for the Fourier coefficients of Siegel-Eisenstein series of degree two and square-free odd levels

Cites Work

• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• The Rankin-Selberg method on congruence subgroups
• On the Holomorphy of Certain Dirichlet Series
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