题目：About the unit 1^1.2^2.3^3.4^4....((N-1)/2)^((N-1)/2) modulo a prime number 

报告人：Loïc MEREL (Institut de Mathematiques de Jussieu-Paris Rive Gauche, Paris, France)

时间：2024年3月20日（周三）16：00-17：00

地点：第五教学楼5107教室

摘要：Let N be a prime number >3. In his great work from 1977, Modular curves and the Eisenstein Ideal, Mazur has defined, from the theory of modular forms, a unit u in Z/N. This unit turned out to be, up to a 6th root of unity,\prod_{k=1}^{(N-1)/2}k^k. In this talk we will describe how the unit is connected to various objects in number theory, several of these connections are due to E. Lecouturier.