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On the smooth transfer for Guo–Jacquet relative trace formulae

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  01 June 2015

Chong Zhang
Chong Zhang*
Affiliation:
School of Mathematical Sciences, Beijing Normal University, Beijing100875, PR China email zhangchong@bnu.edu.cn
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Abstract

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We establish the existence of smooth transfer for Guo–Jacquet relative trace formulae in the $p$-adic case. This kind of smooth transfer is a key step towards a generalization of Waldspurger’s result on central values of L-functions of $\text{GL}_{2}$.

Keywords

Guo–Jacquet conjecturerelative trace formulasmooth transfer

MSC classification

Primary: 11F55: Other groups and their modular and automorphic forms (several variables)
Type
Research Article
Information
Compositio Mathematica , Volume 151 , Issue 10 , October 2015 , pp. 1821 - 1877
Copyright
© The Author 2015 

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