## Functiones et Approximatio Commentarii Mathematici

- Funct. Approx. Comment. Math.
- Volume 58, Number 1 (2018), 117-120.

### A short remark on consecutive coincidences of a certain multiplicative function

#### Abstract

We study integral solutions $n$ of the equation $A(n+k)=A(n)$, where $A$ is a certain multiplicative function related to Jordan's totient function.

#### Article information

**Source**

Funct. Approx. Comment. Math., Volume 58, Number 1 (2018), 117-120.

**Dates**

First available in Project Euclid: 5 May 2017

**Permanent link to this document**

https://projecteuclid.org/euclid.facm/1493949629

**Digital Object Identifier**

doi:10.7169/facm/1659

**Mathematical Reviews number (MathSciNet)**

MR3780038

**Zentralblatt MATH identifier**

06924920

**Subjects**

Primary: 11A05: Multiplicative structure; Euclidean algorithm; greatest common divisors

Secondary: 11A25: Arithmetic functions; related numbers; inversion formulas

**Keywords**

multiplicative function Jordan's totient function

#### Citation

Kohnen, Winfried. A short remark on consecutive coincidences of a certain multiplicative function. Funct. Approx. Comment. Math. 58 (2018), no. 1, 117--120. doi:10.7169/facm/1659. https://projecteuclid.org/euclid.facm/1493949629