A new proof of the Waldspurger formula, I

We provide the first steps towards a new relative trace formula proof of the celebrated formula of Waldspurger relating the square of a toric period integral on ${PGL}_{2}$ to the central value of an $L$ -function.

Keywords

automorphic forms, relative trace formula, Gross–Prasad, orthogonal groups

Mathematical Subject Classification 2010

Primary: 11F67

Secondary: 11F27, 11F30, 11F70

Milestones

Received: 10 November 2017

Revised: 4 September 2018

Accepted: 10 January 2019

Published: 23 March 2019

Authors

Rahul Krishna
Rahul Krishna Northwestern University Evanston, IL United States

Vol. 13, No. 3, 2019

Rahul Krishna

Abstract

Keywords

Mathematical Subject Classification 2010

Milestones

Authors