Speaker: Chen Shaoshi, Associate researcher and doctoral supervisor of the Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Inviter: Wang Guanghui, Professor, School of Mathematics, Shandong University

Date: Mar.10, 2021

Time: 3:00-4:30p.m.

Location: Tencent Meeting ID: 422 186 105 Password：123456

Abstract:

In this work, we introduce a class of sequences, so-called dynamical sequences, which are defined by rational dynamical systems over algebraic varieties. Many classical sequences from number theory and algebraic combinatorics fall under this dynamical framework. For a dynamical sequence a(n), we show that the set of n for which a(n) is in a finitely generated group is a finite union of arithmetic progressions along with a set of zero Banach density. This result generalizes the classical Skolem-Mahler-Lech theorem for sequences satisfying linear recurrence relations. We apply this dynamical approach to prove a rationality theorem on D-finite power series.

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https://www.view.sdu.edu.cn/info/1020/146609.htm