Prof. R. C. Vaughan FRS 
- Room No : 335 McAllister
- Telephone No. : +1 814 865-3583
- E-Mail Address : rvaughan AT math DOT psu DOT
edu
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 and diophantine
approximation.
Curriculum
Vitae
Publications
Some
Photographs
Personal
Home Page
Number
Theory
Seminar
Math 401 Fall
2009
Math 421 Fall
2004
Math 465 Spring 2009
Math 568
Spring
2007
Math 571
Fall 2007
Math 597e
Spring
2008
Math 567 Fall
2008
Math 504 Spring 2009
Math 572 Spring 2010