Yao Cheng (鄭堯)

Assistant Professor

Department of Mathematics, Tamkang University

Email: briancheng@mail.tku.edu.tw 

Address: No. 151, Yingzhuan Road, Tamsui District, New Taipei City 251, Taiwan (R.O.C),  Lui-Hsien Memorial Science Hall. 

Research interests:  Number Theory and Representation Theory

Preprints

 -On gamma factors of generic representations of U(2n+1)xRes_E/FGL(r) (with Chain-Jen Wang).  

 -Local newforms for generic representations of unramified U(2n+1) and Rankin-Selberg integrals.

Publications

  6. On the Rankin-Selberg L-factors for SO(5)xGL(2).

     Israel Journal of  Mathematics, DOI: 10.1007/s11856-023-2580-y.

  5. Rankin-Selberg integrals for SO(2n+1)xGL(r) attached to newforms and oldforms. 

     Mathematische Zeitschrift, vol 301 (4) pp. 3973-4014, 2022.  Erratum.

  4. Special value formulae for the twisted triple product L-functions and an application to the  restricted L2 norm problem.

      Forum Mathematicum, vol 33 (1) pp. 59-108, 2021.  Erratum and addendum. 

  3. Gamma factors for Asai representations of GL(2)  (with Shih-Yu Chen and Isao Ishikawa).

     Journal of Number Theory, vol. 209, pp. 83-146, 2020. 

  2. On Deligne's conjecture for certain automorphic L-functions for GL(3)xGL(2) and GL(4)  (with Shih-Yu Chen).

       Documenta Mathematica, vol. 24, pp. 2241-2297, 2019.

  1. Non-vanishing of central L-values of canonical CM elliptic curves with quadratic twists  (with Pin-Chi Hung).

      Manuscripta Mathematica, vol. 150, pp. 293-335, 2016.