About the diophantine equation z²= 32y² – 16
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Author(s)
Abstract
A Pell Fermat equation and its two classes of solutions are discussed. We give a formula for the pairs of positive solutions, written with the Pell numbers, and some new identities involving these numbers. We build an invariant modulo 4 for each class of solutions.
Keywords
Pell numbers, Pell-Lucas numbers, Markoff equation
Cite this paper
Serge PERRINE,
About the diophantine equation z²= 32y² – 16
, SCIREA Journal of Mathematics.
Volume 4, Issue 5, October 2019 | PP. 126-139.
References
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