News icon 学术报告
Gywm line

题目:Fatou's theorems on power series and their multivariate extensions


报告人: 陈绍示 副研究员

(中科院数学与系统科学研究院, 数学机械化重点实验室)


摘要:In 1906, Fatou proved two rational-transcendental dichotomy theorems on power series: (1) a power series with finitely distinct coefficients is either rational or transcendental; (2) a power series with integer coefficients and of radius of convergence 1 is either rational or transcendental.

Fatou's theorems were later extended in the work of other mathematicians, such as Polya, Carlson, and Szego. The classical results are mainly focusing on the univariate power series. In this talk, we will present some multivariate extensions of Fatou's theorems for D-finite power series.


时间:2019年3月26日(星期二) 下午 15:30-16:30


地点: 西大楼108室


邀请人: 孙智伟  老师