On the mean square of the Riemann zeta function and the divisor problem
Journal
Publications de l'Institut Mathematique
Journal Volume
83
Journal Issue
97
Pages
71-86
Date Issued
2008
Author(s)
Abstract
Let Δ(T) and E(T) be the error terms in the classical Dirichlet divisor problem and in the asymptotic formula for the mean square of the Riemann zeta function in the critical strip, respectively. We show that Δ(T) and E(T) are asymptotic integral transforms of each other. We then use this integral representation of Δ(T) to give a new proof of a result of M. Jutila.
Type
journal article