Article
Sum of Divisors of Fibonacci Numbers
Authors
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Abstract
In this note, we prove an estimate on the count of Fibonacci num- bers 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.
Keywords
Fibonacci number, sum of divisors.
Citation
Konyagin, S. V., Luca, F., & Stanica, P. (2009). Sum of divisors of fibonacci numbers. Uniform Distribution Theory, 4(1), 1–8.
S. V. Konyagin, F. Luca and P. Stanica, “Sum of divisors of fibonacci numbers,” Uniform Distribution Theory, vol. 4, no. 1, pp. 1–8, 2009.
Konyagin SV, Luca F, Stanica P. Sum of divisors of fibonacci numbers. Uniform Distribution Theory. 2009;4(1):1–8.
Konyagin, S. V., Luca, F. and Stanica, P. (2009), ‘Sum of divisors of fibonacci numbers’, Uniform Distribution Theory, 4(1), pp. 1–8.
Konyagin, Sergei V., et al. “Sum of Divisors of Fibonacci Numbers.” Uniform Distribution Theory, vol. 4, no. 1, 2009, pp. 1–8.
Konyagin, Sergei V., Florian Luca, and Pantelimon Stanica. “Sum of Divisors of Fibonacci Numbers.” Uniform Distribution Theory 4, no. 1 (2009): 1–8.
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Published by: Engineering Journals
