Ya. A. Latushkin, V. N. Ushakov, “On the Representation of Fibonacci and Lucas Numbers as the Sum of Three Squares”, Mat. Zametki, 2012, Volume 91, Issue 5,Pages <nobr>711

This article is cited 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

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.

UDC: 511.17

Received: 24.05.2010
Revised: 22.11.2010

DOI: 10.4213/mzm9359