## 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