Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 9, Issue 1


Published
on

June 19, 2013


Pages

21-25


DOI

Article

On the First Digits of the Fibonacci Numbers and Their Euler Function


Authors

Florian Luca Affiliation:
Mathematical Institute, UNAM Juriquilla 76230 Santiago de Queretaro, Mexico and School of Mathematics University of the Witwatersrand P. O. Box Wits 2050 SOUTH AFRICA
and Pantelimon Stanica Affiliation:
Naval Postgraduate School Applied Mathematics Department Monterey, CA 93943 USA


Abstract

Here, we show that given any two finite strings of base b digits, say s 1 and s 2, there are infinitely many Fibonacci numbers F n such that the base b representation of F n starts with s 1 and the base b representation of φ(F n) starts with s 2.


Keywords

Euler function, Fibonacci numbers, digits distribution.


Citation

Luca, F. & Stanica, P. (2014). On the first digits of the fibonacci numbers and their euler function. Uniform Distribution Theory, 9(1), 21–25.

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