College of Liberal Arts & Sciences

# GAUSS Seminar

Speaker:

Curtis Balz (University of Iowa)

Topic:

A glimpse into analytic number theory

**Abstract:**

In Ancient Greece, Euclid gave a proof that there are infinitely many primes. Since then, mathematicians have been interested in studying the distributions of these primes. In 1837, Dirichlet provided a theorem stating that there are infinitely many primes congruent to a modulo b when $gcd(a,b) = 1$. Dirichlet's proof of this remarkable fact can be thought of as the beginnings of analytic number theory. This talk aims to introduce objects such as L-functions and Maass forms, and the ideas relating these objects to number theoretical problems.

Event Date:

November 11, 2020 - 3:30pm to 4:30pm

Location:

Online

Calendar Category:

Seminar

Seminar Category:

GAUSS