Extensions of the class of multiplicative functions

Abstract

We consider the classes of quasimultiplicative, semimultiplicative and Selberg multiplicative functions as extensions of the class of multiplicative functions. We apply these concepts to Ramanujan's sum and its analogue with respect to regular integers (mod r).

arXiv admin note: text overlap with arXiv:1008.5239

Cited by in corpus (1)

• Convergence of Ramanujan expansions, I [Multiplicativity on Ramanujan clouds]