Bhargava's composition law and Waldspurger's central value theorem

Abstract

We reprove a Waldspurger's formula which relates the toric periods and the central values of L-functions of GL2. Our technique, different from the original theta-correspondence approach and the more recent relative trace formula, relies on the exploit of distributions defined on prehomogeneous vector spaces.

arXiv commentarXiv admin note: text overlap with arXiv:1311.2132