2018.6.22-6.28 学术活动预告
2018/6/21 13:44:58 中国科学院数学与系统科学研究院

     Speaker:

     王国亮, 北京理工大学数学与统计学院

     Title:

     Root geometry of polynomials generated by a recursion of order two

     Time & Venue:

     2018.6.27 15:00-16:00 N202

     Abstract:

     We consider the root distribution of a sequence of univariate polynomials satisfying a recurrence of order two with linear polynomial coefficients. We show that the set of non-isolated limits of zeros of the polynomials is either an arc, or a circle, or a ``lollipop'', or an interval. As an application, we discover a sufficient and necessary condition for the universal real-rootedness of the polynomials, subject to certain sign condition on the coefficients of the recurrence.

     Speaker:

     胡怡宁, 华中科技大学数学与统计学院

     Title:

     Some number theoretical results concerning automatic sequences

     Time & Venue:

     2018.6.27 16:00-17:00 N202

     Abstract:

     Automatic sequences arise naturally in various contexts. The study of automatic sequences lies at the interface of number theory, combinatorics on words, dynamic system, logic and theoretical computer science. In this talk I will first give several equivalent definitions and classical examples of automatic sequences. Then I will present important theorems in this domain. Finally I will talk about our works related to infinite products, completely multiplicative functions, transcendence in positive characteristics, and coefficient extraction.

     来源：中国科学院数学与系统科学研究院

     中国科学院数学与系统科学研究院

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