Thue Equations

István Gaál
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István Gaál: University of Debrecen, Institute of Mathematics

Chapter Chapter 3 in Diophantine Equations and Power Integral Bases, 2019, pp 25-37 from Springer

Abstract: Abstract The resolution of index form equations in cubic and quartic number fields is based on solving Thue equations. We give here an overview of the methods for solving these equations. We also consider binomial Thue equations that we shall apply in the sequel in pure quartic fields (Sect. 9.6 ).

Date: 2019
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DOI: 10.1007/978-3-030-23865-0_3

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