A look at quadratic form representations via modifications of continuants

Details A look at quadratic form representations via modifications of continuants A look at quadratic form representations via modifications of continuants

2012-03-02

arxiv.org/abs/1203.0347v1

Mathematics

Number Theory

Scientific paper

In 1855 H. J. S. Smith proved Fermat's Two Squares using the notion of palindromic continuants. In this paper we extend Smith's approach to proper quadratic form representations in some commutative Euclidean rings, including rings of integers and rings of polynomials over fields of characteristic different from 2. While our results are natural extensions of Smith's approach and are unlikely to be new, we believe our presentation is new.

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