University of MissouriColumbia

Department of Mathematics 
Course Announcements Winter 2008 
Instructor: Bill Banks
Books: "The Theory of the Riemann zetafunction"
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,
meanvalue 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.