A new proof of the Waldspurger formula, I

Krishna, Rahul

doi:10.2140/ant.2019.13.577

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Form

Policies for Authors

Ethics Statement

ISSN: 1944-7833 (e-only)

ISSN: 1937-0652 (print)

Author Index

To Appear

Other MSP Journals

A new proof of the Waldspurger formula, I

Rahul Krishna

Vol. 13 (2019), No. 3, 577–642

DOI: 10.2140/ant.2019.13.577

Abstract

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