D-finiteness, Rationality, and Height
Time: 2023-03-10
Published By: Wenqiong Li
Speaker(s): Shaoshi Chen (AMSS, CAS)
Time: 13:00-14:00 March 13, 2023
Venue: Room 78301, Jingchunyuan 78, BICMR
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.
