D-finiteness, Rationality, and Height

报告题目： D-finiteness, Rationality, and Height

报告人：陈绍示教授（中国科学院数学与系统科学研究院）

报告时间：2023年5月1日（星期一） 16:00-17:00

报告地点：紫金港校区海纳苑2幢205教室

摘要：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.

联系人：叶和溪老师（yehexi@zju.edu.cn）