2 citations · 2 across the 3 of their papers we have counts for
4 papers
Quadratic forms, -groups and -values of elliptic curves
Li-Tong Deng, Yong-Xiong Li, Shuai Zhai
Let be a positive definite integral quadratic form in variables. In the present paper, we establish a direct link between the genus representation number of and the ord…
Generalized Birch lemma and the 2-part of the Birch and Swinnerton-Dyer conjecture for certain elliptic curves
Jie Shu, Shuai Zhai
In the present paper, we generalize the celebrated classical lemma of Birch and Heegner on quadratic twists of elliptic curves over . We prove the existence of explicit…
The Birch--Swinnerton-Dyer exact formula for quadratic twists of elliptic curves
Shuai Zhai
In the present paper, we obtain a general lower bound for the -adic valuation of the algebraic part of the central value of the complex -series for the quadratic twists of an…
On the 2-part of the Birch and Swinnerton-Dyer conjecture for quadratic twists of elliptic curves
Li Cai, Chao Li, Shuai Zhai
In the present paper, we prove, for a large class of elliptic curves defined over , the existence of an explicit infinite family of quadratic twists with analytic rank…