Prof. R. C. Vaughan FRS 

Research Interests :

My main research is in number theory, that is, the study of the properties of the whole numbers, especially by the use of analytic techniques. Particular subjects of interest are Waring's problem, the Goldbach problem, the Hardy-Littlewood method, the use of "smooth numbers", i.e. numbers without large prime factors, the distribution of prime numbers, exponential sums over integer sequences such as the sequence of primes, properties of the Riemann zeta-function and Dirichlet L-functions.

Curriculum Vitae

Publications

Some Photographs


Number Theory Seminar

Math 401 Fall 2007

Math 421 Fall 2004

Math 567 Fall 2003

Math 568 Spring 2007

Math 571 Fall 2007

Math 597e Spring 2008