Zhining Wei

collaborators

5 papers

math.NT2026

Some remarks on strong multiplicity one for paramodular forms

Xiyuan Wang, Zhining Wei, Pan Yan +1

We establish several refined strong multiplicity one results for paramodular cusp forms by using automorphic and Galois-theoretic methods. We also give an application to distinguis…

math.NT2025

Second Moment of Central Values of Half-Integral Weight Modular Forms and Subconvexity

Steven Creech, Henry Twiss, Zhining Wei +1

We let $f$ be a half-integral weight modular form of weight $I^º > 4$ on $I^_{0} (4)$ that is an eigenfunction of all Hecke operators $T_{n}$ , so that $T_{n} f = I^_{f} (n) n^{\frac{I ^ º - 1}{2}} f$ .…

math.NT2025

Low-lying zeros of Hilbert modular $L$ -functions weighted by powers of central $L$ -values

Zhining Wei, Liyang Yang, Shifan Zhao

Let $F (k, q)$ be the set of primitive Hilbert modular forms of weight $k$ and prime level $q$ , with trivial central character. We s…

math.NT2025

Effective open image theorem and a Linnik type problem for elliptic curves

Tian Wang, Zhining Wei

We study an effective open image theorem for families of elliptic curves and products of elliptic curves ordered by conductor. Unconditionally, we prove that for $100%$ of pairs o…

math.NT2025

A note on a classical relative trace formula

Zhining Wei

In this note, we derive a relative trace formula (RTF) using classical methods. We obtain a closed formula for the second moment of the central values of holomorphic cusp forms, a…

Some remarks on strong multiplicity one for paramodular forms

Second Moment of Central Values of Half-Integral Weight Modular Forms and Subconvexity

Low-lying zeros of Hilbert modular L-functions weighted by powers of central L-values

Effective open image theorem and a Linnik type problem for elliptic curves

A note on a classical relative trace formula

Low-lying zeros of Hilbert modular $L$ -functions weighted by powers of central $L$ -values