Yao Cheng (鄭堯)

Assistant Professor

Department of Applied Mathematics and Data Science, 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

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

Publications

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

Pacific Journal of Mathematics, vol. 337 (1) pp. 25-85, 2025.

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

Israel Journal of Mathematics, vol. 261 (1) pp. 313-356, 2024.

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.

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