Yong‐Xiong Li

activity

20232026

collaborators

5 papers

math.NT2026

Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $Z_{2}$ -extension of $Q$

Li-Tong Deng, Yong-Xiong Li

Let $Q_{\infty}$ be the cyclotomic $Z_{2}$ -extension over $Q$ . For each integer $n \geq 1$ , let $Q_{n}$ denote the unique subfield in $\mathbb{Q}_\infty…

math.NT2026

Iwasawa Invariants of Even $K$ -groups of Rings of Integers in the $Z_{2}$ -extension over Real Quadratic Number Fields

Li-Tong Deng, Yong-Xiong Li

Let $F$ be a real quadratic number field, and let $F_{cy c}$ denote its cyclotomic $Z_{2}$ -extension. For each integer $n \geq 0$ , let $F_{n}$ be the unique intermediate field in…

math.NT2024

Non-commutative Iwasawa theory of abelian varieties over global function fields

Li-Tong Deng, Yukako Kezuka, Yong-Xiong Li +1

Let $A$ be an abelian variety defined over a global function field $F$ , and let $p$ be a prime distinct from the characteristic of $F$ . Let $F_{\infty}$ be a $p$ -adic Lie extension o…

math.NT2023

Quadratic forms, $K$ -groups and $L$ -values of elliptic curves

Li-Tong Deng, Yong-Xiong Li, Shuai Zhai

Let $f$ be a positive definite integral quadratic form in $d$ variables. In the present paper, we establish a direct link between the genus representation number of $f$ and the ord…

math.NT2023

Non-vanishing of central $L$ -values of the Gross family of elliptic curve

Yukako Kezuka, Yong-Xiong Li

We prove non-vanishing theorems for the central values of $L$ -series of quadratic twists of the Gross elliptic curve with complex multiplication by the imaginary quadratic field $\…

Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the Z2​-extension of Q

Iwasawa Invariants of Even K-groups of Rings of Integers in the Z2​-extension over Real Quadratic Number Fields

Non-commutative Iwasawa theory of abelian varieties over global function fields

Quadratic forms, K-groups and L-values of elliptic curves

Non-vanishing of central L-values of the Gross family of elliptic curve

Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $Z_{2}$ -extension of $Q$

Iwasawa Invariants of Even $K$ -groups of Rings of Integers in the $Z_{2}$ -extension over Real Quadratic Number Fields

Quadratic forms, $K$ -groups and $L$ -values of elliptic curves

Non-vanishing of central $L$ -values of the Gross family of elliptic curve