9 citations · 28 across the 17 of their papers we have counts for
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On Deligne's conjecture for symmetric fifth -functions of modular forms
Shih-Yu Chen
We prove Deligne's conjecture for symmetric fifth -functions of elliptic newforms of weight greater than . As a consequence, we establish period relations between motivic per…
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…
Algebraicity of critical values of adjoint -functions for
Shih-Yu Chen
We prove an algebraicity result for certain critical value of adjoint -functions for over a totally real number field in terms of the Petersson norm of normalized…
On Deligne's conjecture for symmetric fourth -functions of Hilbert modular forms
Shih-Yu Chen
We prove an automorphic analogue of Deligne's conjecture for symmetric fourth -functions of Hilbert modular forms. We extend the result of Morimoto based on generalization and r…