Shuai Zhai
I am a Professor at Shandong University. I was formerly a Research Fellow of the Number Theory Group at University of Cambridge. My research interests include modular and automorphic forms, elliptic curves, and in particular, the Birch and Swinnerton-Dyer conjecture.
Papers
[9] Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves. J. reine angew. Math. 775 (2021), 117--143. With J. Shu.
[8] The Birch--Swinnerton-Dyer exact formula for quadratic twists of elliptic curves. Preprint.
[7] A lower bound result for the central L-values of elliptic curves. J. Number Theory 207 (2020), 356--366.
[6] On the weak forms of the 2-part of Birch and Swinnerton-Dyer conjecture. Math. Proc. Cambridge Philos. Soc. 168 (2020), no. 1, 197--209.
[5] On the 2-part of the Birch and Swinnerton-Dyer conjecture for quadratic twists of elliptic curves. J. Lond. Math. Soc. (2) 101 (2020), no. 2, 714--734. With L. Cai and C. Li.
[4] Non-vanishing theorems for quadratic twists of elliptic curves. Asian J. Math. 20 (2016), no. 3, 475--502.
[3] Quadratic twists of elliptic curves. Proc. Lond. Math. Soc. (3) 110 (2015), no. 2, 357--394. With J. Coates, Y. Li and Y. Tian.
[2] Average behavior of Fourier coefficients of cusp forms over sum of two squares. J. Number Theory 133 (2013), no. 11, 3862--3876.
[1] Estimates of generalized Chebyshev function on GLm. Front. Math. China 7 (2012), no. 5, 883--894. With Y. Qu.
Address
Institute for Advanced Research
Shandong University
Qingdao, Shandong 266237
P. R. China
Email: zhai@sdu.edu.cn