Rational Arithmetic Functions and Multivariate Fibonacci Polynomials
Abstract
An arithmetic function is a rational arithmetic function of order (r,0), or an r-ic function, if it is the Dirichlet convolution of r completely multiplicative functions. In this paper, we establish a connection between these functions and multivariate Fibonacci polynomials of order r. As applications we obtain properties for both of these concepts. Particular attention is paid to the case r=2.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Advanced Combinatorial Mathematics
Advanced Mathematical Identities
Publication details
- Journal / source
- The Fibonacci Quarterly
- Volume
- 64
- Issue
- 1
- Pages
- 128–136
- Publication date
- 2 January 2026
- Language
- EN