Central values of twisted base change \(L\)-functions associated to Hilbert modular forms

DOI10.1016/j.jnt.2018.03.005zbMath1444.11095arXiv1707.07307OpenAlexW2963861253WikidataQ129980008 ScholiaQ129980008MaRDI QIDQ1651977

Qinghua Pi

Publication date: 11 July 2018

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

Full work available at URL: https://arxiv.org/abs/1707.07307

zbMATH Keywords

Hilbert modular formsrelative trace formulasupercuspidal representation

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 (1)

Exact double averages of twisted \(L\)-values

Cites Work

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• Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms
• Existence of Hilbert Cusp Forms with Non-vanishingL-values
• Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms
• Central L-Values and Toric Periods for GL(2)

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