On the average of central values of symmetric square L-functions in weight aspect

DOI10.1017/S0027763000025447zbMath1048.11040MaRDI QIDQ4431470

Winfried Kohnen, Jyoti Sengupta

Publication date: 22 October 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1114649293

zbMATH Keywords

symmetric square \(L\)-functionHecke eigenformsLindelöf hypothesis

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (9)

KERNEL FUNCTIONS OF THE TWISTED SYMMETRIC SQUARE OF ELLIPTIC MODULAR FORMS ⋮ The first moment of central values of symmetric square \(L\)-functions in the weight aspect ⋮ The first moment of central values of symmetric square $L$-functions of cusp forms ⋮ Behavior of automorphic \(L\)-functions at the points \(s=1\) and \(s=\frac 12\) ⋮ The mean value of symmetric square \(L\)-functions ⋮ On the central value of symmetric square \(L\)-functions ⋮ The second moment of the central values of the symmetric square \(L\)-functions ⋮ Analytic number theory in India during 2001-2010 ⋮ Central values of the symmetric square $L$-functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L\)-functions
• On quadratic character twists of Hecke L-functions attached to cusp forms of varying weights at the central point
• Small eigenvalues of Laplacian for $Γ_{0}(N)$
• On the Holomorphy of Certain Dirichlet Series
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Nonvanishing of symmetric square $L$-functions of cusp forms inside the critical strip

This page was built for publication: On the average of central values of symmetric square L-functions in weight aspect