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Moments of the central L-values of the Asai lifts

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  04 March 2024

Wenzhi Luo
Wenzhi Luo*
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, OH 43210, United States
*
e-mail: luo.43@osu.edu
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Abstract

We study some analytic properties of the Asai lifts associated with cuspidal Hilbert modular forms, and prove sharp bounds for the second moment of their central L-values.

Keywords

Hilbert modular formAsai liftcentral L-valuesPetersson formula

MSC classification

Primary: 11F41: Automorphic forms on $(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces 11F30: Fourier coefficients of automorphic forms 11F66: Langlands $L$-functions; one variable Dirichlet series and functional equations
Type
Article
Information
Canadian Mathematical Bulletin , First View , pp. 1 - 9
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society

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Footnotes

This research is partially supported by a Simons Foundation Collaboration Grant.

References

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