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arXiv · 1810.01819

Solving binomial Thue equations

István Gaál·László Remete
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Abstract

We consider binomial Thue equations of type $x^n-my^n=\pm 1$ in $x,y\in Z$. Optimizing the method of Peth\H o we perform an extensive calculation by a high performance computer to determine all solutions with $\max(|x|,|y|)<10^{500}$ of binomial Thue equations for $m<10^7$ for exponents $n=3,4,5,7,11,13,17,19,23,29$.

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István Gaál, László Remete. 2018-09-27. Solving binomial Thue equations. https://doi.org/10.17654/jpantafeb2015_029_042

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