Shih-Yu Chen

activity

20182021

most citedAlgebraicity of critical values of adjoint

L

-functions for

GSp_{4}

1 citations · 2 across the 5 of their papers we have counts for

collaborators

9 papers

math.NT2021

On Deligne's conjecture for symmetric sixth $L$ -functions of Hilbert modular forms

Shih-Yu Chen

In this paper, we prove Deligne's conjecture for symmetric sixth $L$ -functions of Hilbert modular forms. We extend the result of Morimoto based on a different approach. We define a…

math.NT2021

Algebraicity of critical values of triple product $L$ -functions in the balanced case

Shih-Yu Chen

The algebraicity of critical values of triple product $L$ -functions in the balanced case was proved by Garrett and Harris, under the assumption that the critical points are on the…

math.NT2021★ 1 cited

Algebraicity of critical values of adjoint $L$ -functions for $GSp_{4}$

Shih-Yu Chen

We prove an algebraicity result for certain critical value of adjoint $L$ -functions for $GSp_{4}$ over a totally real number field in terms of the Petersson norm of normalized…

math.NT2020★ 1 cited

Algebraicity of the near central non-critical value of symmetric fourth $L$ -functions for Hilbert modular forms

Shih-Yu Chen

Let $Π$ be a cohomological irreducible cuspidal automorphic representation of $GL_{2} (A_{F})$ with central character $ω_{Π}$ over a totally real…

math.NT2020

Algebraicity of the central critical values of twisted triple product $L$ -functions

Shih-Yu Chen

We study the algebraicity of the central critical values of twisted triple product $L$ -functions associated to motivic Hilbert cusp forms over a totally real étale cubic algebra in…

math.NT2019

Gamma factors for the Asai cube representation

Shih-Yu Chen

We prove an equality between the gamma factors for the Asai cube representation of $R_{E / F} GL_{2}$ defined by the Weil $-$ Deligne representations and the local zeta integr…

On Deligne's conjecture for symmetric sixth L-functions of Hilbert modular forms

Algebraicity of critical values of triple product L-functions in the balanced case

Algebraicity of critical values of adjoint L-functions for GSp4​

Algebraicity of the near central non-critical value of symmetric fourth L-functions for Hilbert modular forms

Algebraicity of the central critical values of twisted triple product L-functions

Gamma factors for the Asai cube representation

On Deligne's conjecture for symmetric sixth $L$ -functions of Hilbert modular forms

Algebraicity of critical values of triple product $L$ -functions in the balanced case

Algebraicity of critical values of adjoint $L$ -functions for $GSp_{4}$

Algebraicity of the near central non-critical value of symmetric fourth $L$ -functions for Hilbert modular forms

Algebraicity of the central critical values of twisted triple product $L$ -functions