Shu Zhang

activity

20232026

collaborators

3 papers

math.NT2026

Integral Representations and Asymptotics for a Family of Areal Mahler Measures

Quanyu Tang, Shu Zhang

We study a problem posed by Matilde Lalín concerning the areal Mahler measures of the multivariable polynomial family $$ P_m(x_1,\ldots,x_m,u) = \prod_{j=1}^m(1+x_j) + u\prod_{j=1}…

math.FA2025

Generalizing Lee's conjecture on the sum of absolute values of matrices

Quanyu Tang, Shu Zhang

Let $∥ \cdot ∥_{p}$ denote the Schatten $p$ -norm of matrices and $∥ \cdot ∥_{F}$ the Frobenius norm. For a square matrix $X$ , let $∣ X ∣$ denote its absolute value. In 2010, Eun-…

math-ph2023

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The $L^{2}$ -Critical Case

Bin Chen, Yujin Guo, Shu Zhang

As a continuation of \cite{me}, we consider ground states of the $N$ coupled fermionic nonlinear Schrödinger system with a parameter $a$ and the Coulomb potential $V (x)$ in the $L…

Integral Representations and Asymptotics for a Family of Areal Mahler Measures

Generalizing Lee's conjecture on the sum of absolute values of matrices

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The L2-Critical Case

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The $L^{2}$ -Critical Case