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Solving the Pell Equation Via Rédei Rational Functions

Solving the Pell Equation Via Rédei Rational Functions

In this paper, we define a new product over $\mathbb{R}^{\infty}$, which allows us to obtain a group isomorphic to $\mathbb R^*$ with the usual product. This operation unexpectedly offers an interpretation of the R\'edei rational functions, making more clear some of their properties, and leads to another product, which generates …