Department of Mathematics Colloquium Series The NDSU Mathematics Graduate Program with Discussion of the Riemann Zeta Function Dr. Friedrich Littmann Department of Mathematics North Dakota State University The series 1 1 1 + x + x + ··· x 2 3 4 defines one of the most famous functions in mathematics, the Riemann zeta function. It was introduced by Leonard Euler in the first half of the 18th century in his study of prime numbers. In 1859 Bernhard Riemann found a fundamental connection between the zeros of ζ and the number of primes up to a given size, and he formulated a conjecture, the Riemann hypothesis, which is still unsolved today. The first part of this talk investigates the connection between ζ and prime numbers and introduces some of the research questions related to ζ. This will be accessible to anyone with some calculus knowledge. ζ(x) = 1 + In the second part I will talk about obtaining a Ph.D. in Mathematics and introduce the graduate program in Mathematics at North Dakota State University. Any student considering graduate school in mathematics is encouraged to attend. Before the talk, Dr. Littmann will be available for questions beginning at 2:45pm in Cowley 102. Tea and cookies will be provided! Friday, November 14th 3:30pm, Room 1401 All Welcome to Attend Centennial Hall