First moment of Rankin-Selberg central \(L\)-values and subconvexity in the level aspect

DOI10.1007/s11139-012-9454-yzbMath1290.11085arXiv1207.3421OpenAlexW1983755518MaRDI QIDQ2441307

Nicolas Templier, Roman Holowinsky

Publication date: 24 March 2014

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3421

zbMATH Keywords

automorphic formstrace formulaRankin-Selberg convolutionsubconvexityspecial values of \(L\)-functions

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (9)

Hybrid subconvexity bounds for \(L \left( \frac{1}{2}, \mathrm{Sym}^2 f \otimes g\right) \) ⋮ Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves ⋮ AVERAGES OF TWISTED -FUNCTIONS ⋮ Double first moment for \(L(\frac{1}{2}, \operatorname{Sym}^2 f \times g)\) by applying Petersson's formula twice ⋮ The average of the exponential sums related to cusp forms ⋮ First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\) ⋮ Hybrid bounds for Rankin-Selberg \(L\)-functions ⋮ On the random wave conjecture for dihedral Maaß forms ⋮ Level aspect subconvexity for twisted \(L\)-functions

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