## 2009 Number Theory Seminar - 07

• Date: 02/26/2009
Lecturer(s):
Yuk Kam Lau (University of Hong Kong)
Location:

University of British Columbia

Topic:

Moments of the error term in the Dirichlet divisor problem

Description:

In 1849, Dirichlet showed that sum_{n le x} d(n) = x(log
x+2gamma-1)+Delta(x) with Delta(x) ll sqrt{x} where d(n) counts the
number of divisors of n and gamma is the Euler constant. An interesting
problem is to study the behaviour of Delta(x), for instance, its true
order of magnitude and oscillations. We shall explore the various
moments of this error term.

Schedule:

3:00pm-3:50pm, WMAX 216