Almost-additive and almost-multiplicative functions with regularity properties

Jean-Marie De Koninck                <meta name=

2021/99/1-2 (9) — DOI: 10.5486/PMD.2021.8966 — pp. 151-160

Almost-additive and almost-multiplicative functions with regularity properties

Authors: Jean-Marie De Koninck, Imre Kátai and Bui Minh Phong

Abstract:

We introduce the concepts of almost-additive and almost-multiplicative functions. We then prove some results concerning such functions which satisfy certain regularity conditions.

Keywords: additive function, multiplicative function

Mathematics Subject Classification: 11N37, 11N64