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Polynomial Pell's equation and continued fractions over finite fields

Stegink, J. H. (2014) Polynomial Pell's equation and continued fractions over finite fields. Bachelor's Thesis, Mathematics.

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Abstract

To obtain solutions of Pell's equation for polynomials in K[X], one can try to use the same method as in the integer case. That is, to express the square root as a continued fraction. And examine wether some of the partial continued fractions (convergents) provide solutions to Pell's equation. The continued fraction expression is found with an algorithm similar to the one used in classical number theory to find the continued fraction of an irrational number. We investigate this method.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:56
Last Modified: 15 Feb 2018 07:56
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/11574

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