Averages of central \(L\)-values of Hilbert modular forms with an application to subconvexity

DOI10.1215/00127094-2009-041zbMath1241.11057arXiv0810.4726OpenAlexW2952982404MaRDI QIDQ838416

Brooke Feigon, David J. Whitehouse

Publication date: 25 August 2009

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

Full work available at URL: https://arxiv.org/abs/0810.4726

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (18)

Hecke-Maass cusp forms on \(\operatorname{PGL}_n\) of large levels with non-vanishing \(L\)-values ⋮ Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves ⋮ A quantum probabilistic approach to Hecke algebras for 𝔭-adic PGL2 ⋮ Central values of twisted base change \(L\)-functions associated to Hilbert modular forms ⋮ Test vectors and central \(L\)-values for \(\mathrm{GL}(2)\) ⋮ AVERAGES OF TWISTED -FUNCTIONS ⋮ First moment of Rankin-Selberg central \(L\)-values and subconvexity in the level aspect ⋮ Stable averages of central values of Rankin-Selberg \(L\)-functions: some new variants ⋮ Weighted Distribution of Low-lying Zeros of GL(2) -functions ⋮ Special values of anticyclotomic \(L\)-functions modulo \(\lambda\) ⋮ Weighted averages of modular 𝐿-values ⋮ Hybrid bounds for Rankin-Selberg \(L\)-functions ⋮ EXACT AVERAGES OF CENTRAL VALUES OF TRIPLE PRODUCT L-FUNCTIONS ⋮ Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms ⋮ Subconvexity and equidistribution of Heegner points in the level aspect ⋮ Exact double averages of twisted \(L\)-values ⋮ Spectral means of central values of automorphic 𝐿-functions for 𝐺𝐿(2) ⋮ Asymptotic behaviors of means of central values of automorphic \(L\)-functions for \(\mathrm{GL}(2)\)

Cites Work

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