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arXiv · 2109.03440

Pythagorean Triples in the Fibonacci Model Set

Sarah Marklund·Evangeline Tweddle
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Abstract

In this paper we give a description of all Pythagorean triples in the ring ${{\mathbb Z}}[\tau]$. We also consider triples in the Fibonacci model set which satisfy the Diophantine equations arising from Fermat's Last Theorem. Examples are provided, including a counterexample to Fermat's Last Theorem for the third degree in the Fibonacci model set.

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Sarah Marklund, Evangeline Tweddle. 2021-09-08. Pythagorean Triples in the Fibonacci Model Set. https://arxiv.org/abs/2109.03440

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