Sums of divisors of Fibonacci numbers

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Author
Konyagin, Sergei V.
Luca, Florian
Stănică, Pantelimon
Date
2009Metadata
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In this note, we prove an estimate on the count of Fibonacci numbers whose sum of divisors in also a Fibonacci number. As a corollary, we find that the series of reciprocals in indices of such Fibonacci numbers is convergent.
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
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