On some results of Indlekofer for multiplicative functions

Abstract. In this paper we describe some results of Indlekofer for multiplicative functions. Especially we give the definition for the class \(\mathcal F\) of exp-log functions introduced by Indlekofer in [13]. Further, we compare Indlekofer's results with recent investigations [5], [6] by Granville et. al..

Key words and phrases. Multiplicative functions, uniformly summable functions, Halász's theorem, exp-log functions, Tauberian theorems, additive arithmetical semigroups.