D-finiteness, Rationality, and Height
发布时间：2023年03月10日
浏览次数：2815
发布者: Wenqiong Li
主讲人： 陈绍示 （中国科学院数学与系统科学研究院）
活动时间： 从 2023-03-13 13:00 到 14:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）78301室
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.
