An explicit Waldspurger formula for Hilbert modular forms II

Nicolás, Sirolli - Gonzalo, Tornaría

Resumen:

We describe a construction of preimages for the Shimura map on Hilbert modular forms using generalized theta series, and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted L-functions. This formula extends our previous work, allowing to compute these central values when the main central value vanishes.


Detalles Bibliográficos
2020
Explicit Waldspurger formula
Hilbert modular forms
Shimura map
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/41662
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Compartir Igual (CC - By-NC-SA 4.0)