Ye Tian

activity

20242026

most citedZeta elements for elliptic curves and applications

3 citations · 3 across the 3 of their papers we have counts for

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math.NT2025

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

Ashay Burungale, Wei He, Ye Tian +1

Let $λ$ 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 $Γ_{p}$ the Galo…

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