Asymptotics for a class of arithmetic functions
Volume 170 / 2015
Acta Arithmetica 170 (2015), 135-160
MSC: Primary 11N37.
DOI: 10.4064/aa170-2-3
Abstract
We study the asymptotic behaviour of the summatory function of a class of arithmetic functions. These functions are generalizations of the well-known general $4$-dimensional divisor function $d_4(n)$. We show that the corresponding error estimate is the best one can obtain by the present methods of analytic number theory.
