Some arithmetic properties of q-Fibonacci numbers
2018
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Advisor: Prof. Dr. Mehmet Cenkci
Abstract (EN)
We study the relationship between the Fibonacci numbers and a sequence of polynomials, called as the q-Fibonacci numbers, used by Schur in the proof of the RogersRamanujan identities. We investigate generating functions, some basic and arithmetic properties of q-Fibonacci numbers. We also consider a generalization of the q-Fibonacci numbers, and study some arithmetical properties.
Author
Dr. Pınar Aytaç
How to Cite
Pınar Aytaç (Master Thesis). Some arithmetic properties of q-Fibonacci numbers, 2018, Akdeniz University.
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