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arXiv · 1410.2489

The Distribution of Self-Fibonacci Divisors

Florian Luca·Emanuele Tron
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Abstract

Consider the positive integers $n$ such that $n$ divides the $n$-th Fibonacci number, and their counting function $A$. We prove that \[A(x) \leq x^{1-(1/2+o(1))\log\log\log x/\log\log x}.\]

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Florian Luca, Emanuele Tron. 2015-02-20. The Distribution of Self-Fibonacci Divisors. https://arxiv.org/abs/1410.2489

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