1. Properties of Eisenstein Triples.
- Author
-
Gordon, Russell A.
- Subjects
- *
EISENSTEIN series , *INTEGERS , *GAUSSIAN processes , *PYTHAGOREAN triples , *MATHEMATICAL analysis - Abstract
The article discusses the properties of the Eisenstein triple which comprises three positive integers a < c < b. It highlights the association of Eisenstein triples with Eisenstein integers in a way that mirrors the relationship between the Gaussian integers and Pythagorean triples. It explores how Eisenstein integers can be applied to identify completely which positive integers x can look as c in an Eisenstein triple.
- Published
- 2012
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