info:eu-repo/semantics/article
An explicit Waldspurger formula for Hilbert modular forms II
Fecha
2020-07-26Registro en:
Sirolli, Nicolás Martín; Tornaria, Gonzalo; An explicit Waldspurger formula for Hilbert modular forms II; Springer; Ramanujan Journal; 55; 3; 26-7-2020; 1189-1212
1382-4090
1572-9303
CONICET Digital
CONICET
Autor
Sirolli, Nicolás Martín
Tornaria, Gonzalo
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.