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

本站小编 Free考研/2020-05-19



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 陈绍示, 中科院数学与系统科学研究院, 数学机械化重点实验室
Inviter:
Title:
Fatou's theorems on power series and their multivariate extensions
Time & Venue:
2019.10.08 15:30-17:30 N202
Abstract:
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.

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