D-finiteness, Rationality, and Height
2023-05-01 16:00:00
2023-05-01 16:00:00
2023-05-01 16:00:00
Speaker : 4:00PM, Chen Shaoshi
Time : 2023-05-01 16:00:00
Location : May
Title: D-finiteness, Rationality, and Height
Reporter: Prof. CHEN Shaoshi (Institute of Mathematics and System Sciences, Chinese Academy of Sciences)
Time: May 1, 2023 (Monday) 16:00-17:00
Location: Room 205, Building 2, Haina Court, Zijingang Campus
Abstract：D-finite functions are solutions of homogeneous linear differential equations with rational function coefficients. This is an important class of special functions since it appears ubiquitously in algebra, combinatorics, and number theory. In this talk, we discuss the growth of heights of coefficients of a D-finite series, showing that under conditions that ensure sufficiently slow growth, a D-finite series is necessarily rational.
Contact Person: Prof. YE Hexi (yehexi@zju.edu.cn)