1 citations · 2 across the 8 of their papers we have counts for
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Betti-Whittaker periods under duality: variations and applications
Giancarlo Castellano, Shih-Yu Chen, Nasit Darshan +1
One of the authors (Chen) had previously proved a result on the behavior of Betti-Whittaker periods under duality for cohomological cuspidal automorphic representations of ${\rm GL…
Whittaker functions on via theta lifting
Shih-Yu Chen, Yao Cheng
In the literature, two main approaches have been used to establish explicit formulas or propagation formulas for Whittaker functions over Archimedean local fields: one based on Jac…
Algebraicity of adjoint -functions for quasi-split groups
Shih-Yu Chen
For a globally generic cuspidal automorphic representation of a quasi-split reductive group over , E. Lapid and Z. Mao proposed a conjecture on the decomp…
Period relations between the Betti-Whittaker periods for under duality
Shih-Yu Chen
In this paper, under some regularity conditions, we prove a period relation between the Betti--Whittaker periods associated to a regular algebraic cuspidal automorphic representati…
On Deligne's conjecture for symmetric sixth -functions of Hilbert modular forms
Shih-Yu Chen
In this paper, we prove Deligne's conjecture for symmetric sixth -functions of Hilbert modular forms. We extend the result of Morimoto based on a different approach. We define a…
Algebraicity of critical values of triple product -functions in the balanced case
Shih-Yu Chen
The algebraicity of critical values of triple product -functions in the balanced case was proved by Garrett and Harris, under the assumption that the critical points are on the…