Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms

DOI10.4064/aa8021-4-2016zbMath1393.11043OpenAlexW1790637812MaRDI QIDQ2833606

Shingo Sugiyama, Masao Tsuzuki

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa8021-4-2016

zbMATH Keywords

central \(L\)-valuesrelative trace formulassubconvexity estimates

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (6)

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 \(\mathrm{GL}(2)\) ⋮ Weighted Distribution of Low-lying Zeros of GL(2) -functions ⋮ An explicit trace formula of Jacquet-Zagier type for Hilbert modular forms ⋮ Exact double averages of twisted \(L\)-values

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