On Dirichlet Products Evaluated at Fibonacci Numbers
Number Theory
2016-06-07 v1
Abstract
In this work we discuss Dirichlet products evaluated at Fibonacci numbers. As first applications of the results we get a representation of Fibonacci numbers in terms of Euler's totient function, an upper bound on the number of primitive prime divisors and representations of some related Euler products. Moreover, we sum functions over all primitive divisors of a Fibonacci number and obtain a non--trivial fixed point of this operation.
Keywords
Cite
@article{arxiv.1606.01715,
title = {On Dirichlet Products Evaluated at Fibonacci Numbers},
author = {Uwe Stroinski},
journal= {arXiv preprint arXiv:1606.01715},
year = {2016}
}
Comments
22 pages, 1 figure