Arithmetic properties of complex fibonacci numbers and fibonacci quaternions

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Date

2021-09

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SAS International Publications

Abstract

In this paper, we investigate certain arithmetic properties of complex Fibonacci numbers and Fibonacci quaternions. More specifically, we look at the divisibility properties of complex Fibonacci numbers and Fibonacci quaternions. Our results make use of some well-known Fibonacci identities. Since quaternions are non-commutative algebra, extra care has been taken to investigate the various divisibility properties of the Fibonacci quaternions. © SAS International Publications.

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This article is not available at CUD collection. The version of scholarly record of this article is published in Journal of Algebra and Applied Mathematics (2021), available online at: http://www.sasip.net/jaads_index.html

Keywords

Complex Fibonacci number, Divisibility, Fibonacci quaternion

Citation

Leung, H. H., & Kamalov, F. (2021). Arithmetic properties of complex fibonacci numbers and fibonacci quaternions. Journal of Algebra and Applied Mathematics, 19(2), 115-129. http://www.sasip.net/jaads_index.html

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http://www.sasip.net/jaads_index.html
 http://hdl.handle.net/20.500.12519/502

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Department of Electrical Engineering