For over 250 years, mathematicians have been using analytic functions to prove theorems about the distribution of primes. We will discuss Euler's proof that the sum of the reciprocals of the primes diverges, the prime number theorem and its connection to the Riemann Hypothesis, and a specific instance of Dirichlet's theorem on primes in progressions. We will also present a calculation "a la Stark" which forms a tie between derivatives of L-functions and algebraic number theory.

Pizza and soda will be served for those attending!