X and Y-coordinates of Pell equation of some special forms

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2024
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Abstract
This work primarily characterises the values of d in Pell equation X 2 −dY 2 = ±1 that have at least some specified number of the sequence of X or Y solutions belonging to some interesting sequence of positive integers.
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A thesis submitted in fulfilment of the requirements for the degree of Doctor of Philosophy to the Faculty of Science, School of Mathematics, University of the Witwatersrand, Johannesburg, 2023
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