Solving the Pell equation via R\'edei rational functions

zbMath1221.11073arXiv1103.3762MaRDI QIDQ3069018

Nadir Murru, Stefano Barbero, Umberto Cerruti

Publication date: 21 January 2011

Full work available at URL: https://arxiv.org/abs/1103.3762

zbMATH Keywords

Pell equationRédei rational functions

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55)

Related Items (8)

An efficient and secure RSA-like cryptosystem exploiting Rédei rational functions over conics ⋮ A note on the use of Rédei polynomials for solving the polynomial Pell equation and its generalization to higher degrees ⋮ Rédei Actions on Finite Fields and Multiplication Map in Cyclic Group ⋮ On the cubic Pell equation over finite fields ⋮ Rédei permutations with cycles of the same length ⋮ Group law on affine conics and applications to cryptography ⋮ Fixed points of rational functions satisfying the Carlitz property ⋮ Periodic representations and rational approximations of square roots

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