67 citations · 82 across the 10 of their papers we have counts for
10 papers
On the realisation problem for mapping degree sets
Christoforos Neofytidis, Hongbin Sun, Ye Tian +2
The set of degrees of maps , where are closed oriented -manifolds, always contains and the set of degrees of self-maps always contains and . Also…
The even parity Goldfeld conjecture: congruent number elliptic curves
Ashay Burungale, Ye Tian
In 1979 Goldfeld conjectured: 50\% of the quadratic twists of an elliptic curve defined over the rationals have analytic rank zero. In this expository article we present a few rece…
Horizontal variation of Tate--Shafarevich groups
Ashay A. Burungale, Haruzo Hida, Ye Tian
Let be an elliptic curve over . Let be an odd prime and an embedding. Let be an imaginary quadratic f…
Horizontal non-vanishing of Heegner points and toric periods
Ashay A. Burungale, Ye Tian
Let be a totally real field and a modular $\GL_2$-type abelian variety over . Let be a CM quadratic extension. Let be a class group character over $…
On The Birch and Swinnerton-Dyer Conjecture for CM Elliptic Curves over $\BQ$
Yongxiong Li, Yu Liu, Ye Tian
For CM elliptic curve over rational field with analytic rank one, for any potential good ordinary prime p, not dividing the number of roots of unity in the complex multiplication f…
Cube Sum Problem and an Explicit Gross-Zagier Formula
Li Cai, Jie Shu, Ye Tian
A nonzero rational number is called a cube sum if it is of form with . In this paper, we prove that for any odd integer , there exist i…