X. Wan

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math.NT2026

$p$ -adic Waldspurger Formula for Non-split Primes and Converse of Gross--Zagier and Kolyvagin Theorem

Yangyu Fan, Xin Wan

Let $p$ be a prime and $K$ be an imaginary quadratic field. In this paper we generalize a recent construction of a new type of $p$ -adic $L$ -function and $p$ -adic Waldspur…

math.NT2024

Iwasawa Main Conjecture for Supersingular Elliptic Curves and BSD conjecture

Xin Wan

In this paper we prove the $\pm$ -main conjecture of Iwasawa theory formulated by Kobayashi for elliptic curves with supersingular reduction at an odd prime $p$ such that $a_{p} = 0$ , u…

p-adic Waldspurger Formula for Non-split Primes and Converse of Gross--Zagier and Kolyvagin Theorem

Iwasawa Main Conjecture for Supersingular Elliptic Curves and BSD conjecture

$p$ -adic Waldspurger Formula for Non-split Primes and Converse of Gross--Zagier and Kolyvagin Theorem