Pencils of Euler Triples, I
DOI:
https://doi.org/10.5644/SJM.08.1.02Keywords:
Ring, squares, $S(n)$-triple, Euler triple, pencil of Euler triples, basic symmetric functions, determinants, operations, cubes, commutativeAbstract
In this paper we will study the families of triples $(u,v,w)$ of elements in a commutative ring $r$ with the property that $v\,w+n=\widetilde{u}^2$, $w\,u+n=\widetilde{v}^2$ and $u\,v+n=\widetilde{w}^2$ for some $n, ...
2000 Mathematics Subject Classification. Primary 11B37, 11B39, 11D09
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References
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