TL;DR
This paper explores relationships among Pythagorean triples using a new characterization involving a chatetus, enabling analysis of triples with related chatetus raised to powers.
Contribution
Introduces a fundamental characterization of Pythagorean triples via chatetus, facilitating the study of their relationships under exponentiation.
Findings
Established relations among Pythagorean triples.
Characterization through chatetus allows new insights.
Analyzed triples with chatetus raised to powers.
Abstract
Some relations among Pythagorean triples are established. The main tool is a fundamental characterization of the Pythagorean triples through a chatetus which allows to determine relationships with Pythagorean triples having the same chatetus raised to an integer power.
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Taxonomy
TopicsMathematics and Applications