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On the Euler Function of Fibonacci Numbers

By Florian Luca, V. Janitzio Mejía Huguet and Florin Nicolae

Abstract

In this paper, we show that for any positive integer k, the set φ(Fn+1) φ(Fn+2) φ(Fn+k), ,..., : n ≥ 1 φ(Fn) φ(Fn) φ(Fn) is dense in R k ≥0, where φ(m) is the Euler function of the positive integer m and Fn is the nth Fibonacci number

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.188.8522
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