%0 Journal Article
%T Sum of divisors of Fibonacci numbers
%A Sergei V. Konyagin
%A Florian Luca
%A Pantelimon St£¿nic£¿
%J Uniform Distribution Theory
%D 2009
%I Mathematical Institute of the Slovak Academy of Sciences
%X In this note, we prove an estimate on the count of Fibonacci numbers whose sum of divisors is also a Fibonacci number. As a corollary, we find that the series of reciprocals of indices of such Fibonacci numbers is convergent.
%K Fibonacci number
%K sum of divisors.
%U http://www.boku.ac.at/MATH/udt/vol04/no1/KLS09-1.pdf