高等数学研究所学术报告| The Philosophy of Congruences――from modulo prime to modulo integer

题目：The Philosophy of Congruences――from modulo prime to modulo integer

报告人：蔡天新 教授（浙江大学）

时间：2019年11月29日 （星期五）上午10：30-11：30

地点：玉泉校区工商楼200-9报告厅

摘要：

In this talk, we will recall the history of classical congruences, then discuss modern congruences of E. Lehmer, Morley, Jacobstahl and Zhao, and generalize them from modulo prime powers to modulo integer powers. Also we will discuss some application, such as congruences of partial sum of the coefficients in all three kinds of complete elliptic integral.  Meanwhile, we will raise several new problems, some of them related with combinatorial mathematics.