Back to Calendar

Friday, May 1, 2015

2:15 PM - 4:00 PM (ET)

ESC 618

Event Type

Lecture

Contact

Wai Kiu Chan, wkchan@wesleyan.edu

Department

Academic

Link

https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=48538

Abstract: Let (x) be the number of primes less than or equal to x. The Prime number Theorem states that (x) asymptotically approaches x=log(x) as x approaches infinity. Using Riemann's zeta function and methods of complex analysis, I will outline a proof of the Prime Number Theorem and then segue into a discussion of the zeta function's analytic continuation to the entire complex plane and the Riemann Hypothesis. I will conclude by very briefly outlining Hardy's 1914 proof that the zeta function has infinitely many zeros on the line Re(s) = 1/2.