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Matematicheskie Zametki, 2012, Volume 91, Issue 5, Pages 711–719
DOI: https://doi.org/10.4213/mzm9359 (Mi mzm9359) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Representation of Fibonacci and Lucas Numbers as the Sum of Three Squares

Ya. A. Latushkin, V. N. Ushakov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (501 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm9359
Abstract: We study the problem of expressing the Fibonacci numbers and the Lucas numbers as the sum of three squares of integers. We obtain the description of all numbers admitting such a representation.
Keywords: Fibonacci numbers, Lucas numbers, sequence of residues.
Received: 24.05.2010
Revised: 22.11.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 5, Pages 663–670
DOI: https://doi.org/10.1134/S0001434612050070
Bibliographic databases:
Document Type: Article
UDC: 511.17
Language: Russian
Citation: Ya. A. Latushkin, V. N. Ushakov, “On the Representation of Fibonacci and Lucas Numbers as the Sum of Three Squares”, Mat. Zametki, 91:5 (2012), 711–719; Math. Notes, 91:5 (2012), 663–670
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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