In this paper we study a general class of conics starting from a quotient field. We give a, group structure over these conics generalizing the construction of a, group over the Pell hyperbola. Furthermore, we generalize the definition of Redéi rational functions in order to use them for evaluating powers of points over these conics. Finally, we study rational approximations of irrational numbers over conics, obtaining a new result for the approximation of quadratic irrationalities. © 2010 Academic Publications.

Generalized Rédei rational functions and rational approximations over conics / Barbero, Stefano; Cerruti, Umberto; Murru, Nadir. - In: INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS. - ISSN 1314-3395. - 2010/64:2(2010), pp. 305-316.

Generalized Rédei rational functions and rational approximations over conics

Barbero, Stefano;Murru, Nadir
2010-01-01

Abstract

In this paper we study a general class of conics starting from a quotient field. We give a, group structure over these conics generalizing the construction of a, group over the Pell hyperbola. Furthermore, we generalize the definition of Redéi rational functions in order to use them for evaluating powers of points over these conics. Finally, we study rational approximations of irrational numbers over conics, obtaining a new result for the approximation of quadratic irrationalities. © 2010 Academic Publications.
2010
2
Barbero, Stefano; Cerruti, Umberto; Murru, Nadir
Generalized Rédei rational functions and rational approximations over conics / Barbero, Stefano; Cerruti, Umberto; Murru, Nadir. - In: INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS. - ISSN 1314-3395. - 2010/64:2(2010), pp. 305-316.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/270955
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