Density properties of fractions with Euler’s totient function
Abstract
We prove that for all constants $a\in\N$, $b\in\Z$, $c,d\in\R$, $c\neq 0$, the fractions $ϕ(an+b)/(cn+d)$ lie dense in the interval $]0,D]$ (respectively $[D,0[$ if $c
Fields of Study & Subjects
Analytic Number Theory Research
Limits and Structures in Graph Theory
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Involve a Journal of Mathematics
- Volume
- 19
- Issue
- 1
- Pages
- 1–31
- Publication date
- 17 January 2026
- Language
- EN