English

On additive and multiplicative arithmetical functions

Number Theory 2011-06-28 v1

Abstract

A characterization of multiplicative (and additive) arithmetical functions is given. Using this characterization, we show that the group of multiplicative arithmetical functions is isomorphic to the group of additive arithmetical functions.

Keywords

Cite

@article{arxiv.1106.5320,
  title  = {On additive and multiplicative arithmetical functions},
  author = {Masood Aryapoor},
  journal= {arXiv preprint arXiv:1106.5320},
  year   = {2011}
}

Comments

6 pages

R2 v1 2026-06-21T18:27:57.400Z