paper

The Distribution of Self-Fibonacci Divisors

arXiv:1410.2489

Abstract

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

8 pages. 1/4 improved to 1/2. To appear in the proceedings of CNTA XIII