Ye Tian

collaborators

2 papers

math.NT2026

Mod $ℓ$ non-vanishing of self-dual Hecke $L$ -values over CM fields and applications

Ashay Burungale, Wei He, Ye Tian +1

Let $I^»$ be a self-dual Hecke character over a CM field $K$ . Let $p$ be a degree one prime of the maximal totally real subfield $F$ of $K$ and $I^_{p}$ the Ga…

math.NT2025

A rank zero $p$ -converse to a theorem of Gross--Zagier, Kolyvagin and Rubin

Ashay A. Burungale, Ye Tian

Let $E$ be a CM elliptic curve defined over $Q$ and $p$ a prime. We show that $${\mathrm corank}_{\mathbb{Z}_{p}} {\mathrm Sel}_{p^{\infty}}(E_{/\mathbb{Q}})=0 \implies {\…

Mod ℓ non-vanishing of self-dual Hecke L-values over CM fields and applications

A rank zero p-converse to a theorem of Gross--Zagier, Kolyvagin and Rubin

Mod $ℓ$ non-vanishing of self-dual Hecke $L$ -values over CM fields and applications

A rank zero $p$ -converse to a theorem of Gross--Zagier, Kolyvagin and Rubin