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(Jan. 5) L-function: its past and future

Last updated :2018-01-03

Topic: L-function: its past and future
Speaker: Professor Shou-Wu Zhang
(Fellow of American Academy of Arts and Sciences, Princeton University)
Time: 16:30-17:30, Friday, January 5, 2018
Venue: Room 416, New Mathematics Building, Guangzhou South Campus, SYSU

Abstract:
In this talk, I will first review a brief history of 2500 years in searching a formula for finite sums 1^k+2^k+/cdots n^k which lead to work of Euler on infinite sums 1^k+2^k+/cdots n^k+/cdots. Then I will explain how this game of calculus unfold some secrets of primes in a series work of Euler, Dirichlet, and Riemann in 18-19 century. Finally I will describe how the study of L-function becomes a central topic in 20-21 century of number theory under framework of Langlands program and arithmetic geometry.