On the Rankin–Selberg method for vector-valued Siegel modular forms

DOI10.1142/S1793042121500330zbMath1472.11143arXiv1811.05713OpenAlexW3106966163MaRDI QIDQ4995428

Salvatore Mercuri, Thanasis Bouganis

Publication date: 24 June 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05713

zbMATH Keywords

Eisenstein seriesstandard \(L\)-functiontheta seriesSiegel modular forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Theta series; Weil representation; theta correspondences (11F27) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions (11S40)

Related Items (1)

On the standard \(L\)-function attached to quaternionic modular forms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit constructions of automorphic \(L\)-functions
• Singular modular forms and theta relations
• Estimating Hecke eigenvalues of Siegel modular forms
• On the Segal-Shale-Weil representations and harmonic polynomials
• Euler products and Fourier coefficients of automorphic forms on symplectic groups
• A regularized Siegel-Weil formula: The first term identity
• On special values of standard \(L\)-functions attached to vector valued Siegel modular forms.
• Standard \(L\)-functions attached to alternating tensor valued Siegel modular forms
• Eisenstein series and zeta functions on symplectic groups
• Zeta functions and Eisenstein series on metaplectic groups
• Convergence of zeta functions on symplectic and metaplectic groups
• \(L\)-functions and theta correspondence for classical groups
• Garrett's pullback formula for vector valued Siegel modular forms
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Siegel modular forms and theta series attached to quaternion algebras
• Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.
• A new way to get Euler products.
• Vektorwertige Siegelsche Modulformen kleinen Gewichtes.
• Siegel modular forms and theta series attached to quaternion algebras II

This page was built for publication: On the Rankin–Selberg method for vector-valued Siegel modular forms