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math.NT2023★ 1 cited
Multiplicity formula for induced representations: Bessel and Fourier-Jacobi models over Archimedean local fields
Cheng Chen
This article proves a formula relating the multiplicity of an induced representation and that of the inducing datum for the Bessel and the Fourier-Jacobi models over Archimedean lo…
math.NT2022★ 1 cited
The local Gross-Prasad conjecture over : Epsilon dichotomy
Cheng Chen, Zhilin Luo
Following the work of Jean-Loup Waldspurger, we prove the epsilon dichotomy part of the local Gross-Prasad conjecture over for tempered local -parameters.
math.NT2021★ 1 cited
The Local Gross-Prasad Conjecture over Archimedean Local Fields
Cheng Chen
Following the approach of C. Moeglin and J.L.-Waldspurger, this article completes the proof for the generic cases of the local Gross-Prasad conjecture over Archimedean local fields…