An explicit Waldspurger formula for Hilbert modular forms
Number Theory
2018-07-13 v2
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-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.
Keywords
Cite
@article{arxiv.1603.03753,
title = {An explicit Waldspurger formula for Hilbert modular forms},
author = {Nicolás Sirolli and Gonzalo Tornaría},
journal= {arXiv preprint arXiv:1603.03753},
year = {2018}
}
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16 pages