Weighted averages of modular 𝐿-values

DOI10.1090/S0002-9947-09-04923-XzbMath1230.11061OpenAlexW2014472763MaRDI QIDQ3550541

Andrew H. Knightly, Charles C. C. Li

Publication date: 31 March 2010

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04923-x

zbMATH Keywords

weighted averageGrand Riemann Hypothesismodular \(L\)-values

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11)

Related Items (3)

Test vectors and central \(L\)-values for \(\mathrm{GL}(2)\) ⋮ AVERAGES OF TWISTED -FUNCTIONS ⋮ Weighted Distribution of Low-lying Zeros of GL(2) -functions

Cites Work

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• On the Error Term in Duke's Estimate for the Average Special Value of L-Functions
• Computation of the Gamma, Digamma, and Trigamma Functions
• Facteurs $\bbfQ$-simples de $J_{0}(N)$ de grande dimension et de grand rang
• Certain mean values and non-vanishing of automorphic L-functions with large level
• A relative trace formula proof of the Petersson trace formula
• Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝

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