• Corpus ID: 237442184

Pythagorean Triples in the Fibonacci Model Set

@inproceedings{Marklund2021PythagoreanTI,
  title={Pythagorean Triples in the Fibonacci Model Set},
  author={Sarah Marklund and Evangeline Tweddle},
  year={2021}
}
In this paper we give a description of all Pythagorean triples in the ring Z[τ ]. 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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