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

2015/10/26 by Wen, Jun
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1510.07334

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.

Related

• Central L-values and periods for GL(2)
• New test vector for Waldspurger's period integral, relative trace formula, and hybrid subconvexity bounds
• Waldspurger formula over function fields
• Central value of automorphic L-functions
• Periods, cycles, and L-functions: a relative trace formula approach