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math.NT2018
Gamma factors for Asai representations of
Shih-Yu Chen, Yao Cheng, Isao Ishikawa
Let be a quadratic semisimple extension of a local field of characteristic zero. We determine explicit relation between gamma factors for Asai representations of $R_{E/F}{\…
math.NT2018
On Deligne's conjecture for certain automorphic -functions for
Shih-Yu Chen, Yao Cheng
We prove Deligne's conjecture for central critical values of certain automorphic -functions for . The proof is base on rationality results for cen…
math.NT2018
Pullback formulae for nearly holomorphic Saito-Kurokawa lifts
Shih-Yu Chen
We give explicit pullback formulae for nearly holomorphic Saito-Kurokawa lifts restrict to product of upper half-plane against with product of elliptic modular forms. We generalize…