报告题目：Counting integer polynomials with several roots of maximal modulus

报 告 人：沙敏研究员（华南师范大学）

报告时间：2024年10月10日 10:00-11:00

腾讯会议号：402-722-9570

主办单位：数学科学学院

报告摘要：In this talk, I will present some estimates on the cardinality of the set of monic integer polynomials of degree n and height bounded by H with exactly k roots of maximal modulus. These include lower and upper bounds and some asymptotic formulas. Moreover, we also count reducible and irreducible polynomials in that set separately. This is join work with Artūras Dubickas.

报告人简介：沙敏，华南师范大学副研究员，曾获得澳大利亚研究理事会的Discovery Early Career Researcher Award。主要研究领域为数论及其应用，至今发表论文50余篇，部分成果发表在Trans Amer Math Soc, Math Comp, Int Math Res Notices, Math Zeit, Moscow Math J, J Comb Theory B等国际知名期刊。