Posted in
Speaker:
Valentin Blomer
Zugehörigkeit:
Universität Göttingen
Datum:
Mit, 24/05/2017 - 14:00 - 14:50
Location:
MPIM Lecture Hall
Parent event:
Conference "Modular forms are everywhere" We develop a reciprocity formula for a spectral sum over central values
of L-functions on GL(4) x GL(2). As an application we show that for any
self-dual spherical cuspidal automorphic representation Pi on GL(4),
there exists a self-dual representation pi on GL(2) such that L(1/2, Pi
x pi) does not vanish. An important ingredient is a functional equation
of a certain double Dirichlet series involving Kloosterman sums and
GL(4) Hecke eigenvalues. (Joint work with X. Li and S. Miller)
© MPI f. Mathematik, Bonn | Impressum & Datenschutz |