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The Farey Sum of Pythagorean and Eisenstein Triples
2024
Journal:  
Mathematical Sciences and Applications E-Notes
Author:  
DOI:  
10.36753/mathenot.1316554
Abstract:

A composition law, inspired by the Farey addition, is introduced on the set of Pythagorean triples. We study some of its properties as well as two symmetric matrices naturally associated to a given Pythagorean triple. Several examples are discussed, some of them involving the degenerated Pythagorean triple $(1, 0, 1)$. The case of Eisenstein triples is also presented.

Keywords:

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2024
Journal:  
Mathematical Sciences and Applications E-Notes
Author:  
DOI:  
10.36753/mathenot.1316554
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Mathematical Sciences and Applications E-Notes

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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Article : 311
Cite : 90
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Mathematical Sciences and Applications E-Notes