International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 2, Pages 355-358
doi:10.1155/S0161171293000432
An identity for a class of arithmetical functions of several variables
Pentti Haukkanen
Department of Mathematical Sciences, University of Tempere, P.O. Box 607, Tampere SF-33101, Finland
Abstract
Johnson [1] evaluated the sum ∑d|n|C(d;r)|, where C(n;r) denotes Ramanujan's trigonometric sum. This evaluation has been generalized to a wide class of arithmetical functions of two variables. In this paper, we generalize this evaluation to a wide class of arithmetical functions of several variables and deduce as special cases the previous evaluations.