A new proof of the Waldspurger formula, I

Rahul Krishna

doi:10.2140/ant.2019.13.577

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Home > Journals > Algebra Number Theory > Volume 13 > Issue 3 > Article

2019 A new proof of the Waldspurger formula, I

Rahul Krishna

Algebra Number Theory 13(3): 577-642 (2019). DOI: 10.2140/ant.2019.13.577

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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.