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Showing 1 to 2 of 2 for “"Diophantine triples"”.

  1. Linear Forms in Logarithms and Fibonacci Numbers

    … the supervision of Omar Kihel, pertaining to Diophantine triples of Fibonacci numbers. To go along with this will be introductory material not included in said paper which establishes the mathematical concepts therein and offers some historical perspective and motivation. The initial aim of …

    brock Repository record for Linear Forms in Logarithms and Fibonacci Numbers (opens in a new tab)

  2. On the Extendibility of a D(4)-Pair of Pell Numbers

    A Diophantine m-tuple with property D(ℓ) is a set of m integers such that the product of any two integers plus ℓ results in a perfect square. This thesis establishes that a particular family of D(4) pairs of Pell numbers can be extended to a D(4) triple by exactly one Pell number. A similar result …

    brock Repository record for On the Extendibility of a D(4)-Pair of Pell Numbers (opens in a new tab)