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
Prerequisites: Math 8420/8421 and Math 8425.