Shih-Yu Chen

collaborators

4 papers

math.NT2026

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…

math.NT2026

Algebraicity of ratios of Rankin-Selberg $L$ -functions and applications to Deligne's conjecture

Shih-Yu Chen

In this paper, we prove Deligne's conjecture on the algebraicity of the critical values of symmetric power $L$ -functions associated with modular forms of weight at least 5. We also…

math.NT2026

Whittaker functions on $GL_{n}$ 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…

math.NT2025

Algebraicity of adjoint $L$ -functions for quasi-split groups

Shih-Yu Chen

For a globally generic cuspidal automorphic representation $I^$ of a quasi-split reductive group $G$ over $Q$ , E. Lapid and Z. Mao proposed a conjecture on the decom…

Betti-Whittaker periods under duality: variations and applications

Algebraicity of ratios of Rankin-Selberg L-functions and applications to Deligne's conjecture

Whittaker functions on GLn​ via theta lifting

Algebraicity of adjoint L-functions for quasi-split groups

Algebraicity of ratios of Rankin-Selberg $L$ -functions and applications to Deligne's conjecture

Whittaker functions on $GL_{n}$ via theta lifting

Algebraicity of adjoint $L$ -functions for quasi-split groups