Teng Zhang

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20222026

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3 papers · 1 filter

math.CV2026

Proof of the Agler--McCarthy entropy conjecture

Jialin Lei, Teng Zhang

In 2021, J.~Agler and J.~E. McCarthy proposed a two-step programme toward the celebrated Krzyż conjecture. The first step is to prove an entropy conjecture for polynomials whose ze…

math.CV2026

Intersections of Convex Hulls of Polynomial Shifts and Critical Points

Teng Zhang

Let $p (z)$ be a complex polynomial of degree $n \geq 2$ . For each $c \in C$ , let $K_{c}$ denote the convex hull of the zeros of $p (z) + c$ , and let $K^{'}$ denote the convex hull of…

math.CV2025

Sharp Schoenberg type inequalities and the de Bruin--Sharma problem

Quanyu Tang, Teng Zhang

In this paper, we confirm two conjectures proposed by Georgiev, Gómez-Serrano, Tao, and Wagner~\cite{GGTW25} on Schoenberg type inequalities of order $4$ , thereby providing a compl…