University of Georgia
Mathematics Department Colloquium
Alexandru Zaharescu
McGill University
January 25 1999
Spacing statistics in number theory
Abstract:
In this talk we discuss the distribution of several sequences
which appear naturally in number theory.
We explain the two standard ways to measure the distribution of
spacings between elements of a given sequence, namely to compute
the level spacings respectively the correlations of the elements
of that sequence.
We then present various (old and new) results on the distribution
of prime numbers, fractional parts of polynomials, normal numbers
to a given base, primitive roots and zeros of
L-functions.