1 citations · 1 across the 2 of their papers we have counts for
5 papers
Classical Iwasawa theory and infinite descent on a family of abelian varieties
John Coates, Jianing Li, Yongxiong Li
For primes , the present manuscript shows that elementary methods enable one to prove surprisingly strong results about the Iwasawa theory of the Gross family o…
A classical family of elliptic curves having rank one and the -primary part of their Tate-Shafarevich group non-trivial
Yukako Kezuka, Yongxiong Li
We study elliptic curves of the form and where is any odd prime satisfying or . We first show that the -part…
Non-vanishing theorems for central -values of some elliptic curves with complex multiplication II
John Coates, Yongxiong Li
Let be any prime , , and let be the Hilbert class field of . Let be the Gross elliptic curve defined over with com…
Non-vanishing theorems for central -values of some elliptic curves with complex multiplication
John Coates, Yongxiong Li
The paper uses Iwasawa theory at the prime to prove non-vanishing theorems for the value at of the complex -series of certain quadratic twists of the Gross family of…
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…