Student Analysis

Date:  Thursday, November 29, 2012
Location:  2866 East Hall (5:10 PM to 6:00 PM)

Title:  Zeta Function Universality

Abstract:   A function is said to be universal if it can approximate some class of functions arbitrarily well. The study of these objects began in the early 20th century, but it was not until 1975 that Voronin found the first explicit example of a universal object, the Riemann zeta function. Voronin's Universality Theorem roughly states that the zeta function approximates nonvanishing holomorphic functions arbitrarily well in the critical strip. I will sketch a proof of this theorem and if time allows discuss connections to analytic number theory.


Speaker:  Matthew Jacobs
Institution:  University of Michigan

Event Organizer:   Purvi Gupta   

 

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