EXACT AVERAGES OF CENTRAL VALUES OF TRIPLE PRODUCT L-FUNCTIONS

DOI10.1142/S179304211000368XzbMath1236.11050arXiv1005.0646OpenAlexW2963097705MaRDI QIDQ3067880

Brooke Feigon, David J. Whitehouse

Publication date: 13 January 2011

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

Full work available at URL: https://arxiv.org/abs/1005.0646

zbMATH Keywords

non-vanishingtriple product \(L\)-functioncentral \(L\)-valueexact average

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (5)

Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves ⋮ On the 4-norm of an automorphic form ⋮ Bounds for twisted symmetric square L-functions via half-integral weight periods ⋮ Equivariant holomorphic differential operators and finite averages of values of \(L\)-functions ⋮ Remarks on the rightmost critical value of the triple product L-function

Cites Work

• Dimensions of the spaces of cusp forms and newforms on \(\Gamma_0(N)\) and \(\Gamma_1(N)\)
• Decomposition of Eisenstein series: Rankin triple products
• The central critical value of a triple product \(L\)-function
• Averages of central \(L\)-values of Hilbert modular forms with an application to subconvexity
• Trilinear forms and the central values of triple product \(L\)-functions
• Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman

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