Vol. 13, No. 3, 2019

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A new proof of the Waldspurger formula, I

Rahul Krishna

Vol. 13 (2019), No. 3, 577–642
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