Ki-Seng Tan

collaborators

3 papers

math.NT2026

$p$ -adic $L$ -functions for elliptic curves over global function fields

Ki-Seng Tan

We introduce a $p$ -adic $L$ -function $L_{A / L}$ associated to each ordinary elliptic curve $A$ over a global function field $K$ of characteristic $p$ together with a $\math…

math.NT2026

Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields

Ki-Seng Tan, Fabien Trihan, Kwok-Wing Tsoi

Let $A$ be an ordinary elliptic curve over a global function field $K$ of characteristic $p$ , assumed semistable at every place, and let $L / K$ be a $Z_{p}^{d}$ -extension ramif…

math.NT2024

On a Birch and Swinnerton-Dyer type conjecture for the Hasse-Weil-Artin $L$ -functions in characteristic $p > 0$

Wansu Kim, Ki-Seng Tan, Fabien Trihan +1

Given an abelian variety $A$ over a global function field $K$ of characteristic $p > 0$ and an irreducible complex continuous representation $I ¨ $ of the absolute Galois group of $K$ ,…

p-adic L-functions for elliptic curves over global function fields

Iwasawa Main Conjecture for ordinary semistable elliptic curves over global function fields

On a Birch and Swinnerton-Dyer type conjecture for the Hasse-Weil-Artin L-functions in characteristic p>0

$p$ -adic $L$ -functions for elliptic curves over global function fields

On a Birch and Swinnerton-Dyer type conjecture for the Hasse-Weil-Artin $L$ -functions in characteristic $p > 0$