University of Missouri-Columbia
College of Arts & Science

Department of Mathematics

Course Announcements Winter 2008

Math 8302 sec 2—Topics in Harmonic Analysis: The Riemann zeta-function and related topics

Instructor: Bill Banks

Books: "The Theory of the Riemann zeta-function"
by E.C. Titchmarsh

"Multiplicative Number Theory I. Classical Theory"
by H.L. Montgomery and R.C. Vaughan

Topics covered: Analytic character of the Riemann zeta function, the
functional equation, prime number theorem, the Riemann hypothesis,
mean-value theorems and moments, general distribution of zeroes, zeroes on
the critical line, the Lindelof hypothesis, consequences of the Riemann
hypothesis.

Prerequisites: Math 8420/8421 and Math 8425.