Values of symmetric cube $L$-functions and Fourier coefficients of Siegel Eisenstein series of degree-3

DOI10.1090/S0025-5718-10-02350-1zbMath1231.11051MaRDI QIDQ3081291

Dominic Lanphier

Publication date: 7 March 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

Fourier coefficientsvaluesSiegel Eisenstein series of degree-3symmetric cube \(L\)-functions

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30)

Related Items (4)

Cuspidality of pullbacks of Siegel-Hilbert Eisenstein series on Hermitian symmetric domains ⋮ Congruences to Ikeda-Miyawaki lifts and triple \(L\)-values of elliptic modular forms ⋮ Computations of vector-valued Siegel modular forms ⋮ Remarks on the rightmost critical value of the triple product L-function

Cites Work

• Unnamed Item
• Unnamed Item
• Decomposition of Eisenstein series: Rankin triple products
• The theory of Jacobi forms
• Über die Fourierkoeffizienten der Siegelschen Eisensteinreihen
• Table of the Fourier coefficients of Eisenstein series of degree 3
• On the arithmetic of Siegel-Hilbert cusp forms: Petersson inner products and Fourier coefficients
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• On the periods of modular forms
• Symmetric cube \(L\)-functions for \(\text{GL}_2\) are entire
• Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
• Symmetric Square L-Functions and Shafarevich-Tate Groups
• Congruences for the Ramanujan function and generalized class numbers
• Special Values of the Standard Zeta Functions for Elliptic Modular Forms
• Über Funktionalgleichungen automorpher L-Funktionen zur Siegelschen Modulgruppe.
• An explicit formula for the Fourier coefficients of Siegel-Eisenstein series of degree 3
• On Ramanujan congruences for modular forms of integral and half-integral weights
• Special Values of Triple Product L-Functions
• Holomorphy of Rankin triple \(L\)-functions; special values and root numbers for symmetric cube \(L\)-functions
• Special values of triple product \(L\)-functions and nearly holomorphic Eisenstein series

This page was built for publication: Values of symmetric cube $L$-functions and Fourier coefficients of Siegel Eisenstein series of degree-3