An explicit Waldspurger formula for Hilbert modular forms-Reference-Cited by-同舟云学术

An explicit Waldspurger formula for Hilbert modular forms

Published:2018-03-20 Issue:9 Volume:370 Page:6153-6168
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Sirolli Nicolás,Tornaría Gonzalo

Abstract

We describe a construction of preimages for the Shimura map on Hilbert modular forms and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted L L -functions. Our construction is inspired by that of Gross and applies to any nontrivial level and arbitrary base field, subject to certain conditions on the Atkin-Lehner eigenvalues and on the weight.

Funder

Agencia Nacional de Investigación e Innovación

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/2018-370-09/S0002-9947-2018-07112-4/tran7112_AM.pdf

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