Abstract
It is shown by a simple induction that any square-free natural number is the square-free kernel of Euler's φ-function of infinitely many natural numbers. Furthermore every square-free natural number >1 is the square-free kernel of Euler's φ-function of infinitely many square-numbers.
Similar content being viewed by others
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Aigner, A. Der quadratfreie Kern der Eulerschen φ-Funktion. Monatshefte für Mathematik 83, 89–91 (1977). https://doi.org/10.1007/BF01534629
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01534629