An algorithm for finding entire solutions of systems of difference equations

Abstract : We present an algorithm that computes the entire solutions of systems of two difference equations and of systems of one differential equation and one difference equation, all with complex polynomials coefficients. The problem of the determination of such solutions arose in the field of diophantine approximation. Our algorithm, which uses previous works by Abramov and Petkovsek, allows also to determine, for each of the systems considered, all the solutions of the form ......
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https://hal-lara.archives-ouvertes.fr/hal-02101756
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Submitted on : Wednesday, April 17, 2019 - 9:05:27 AM
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Nicolas Brisebarre. An algorithm for finding entire solutions of systems of difference equations. [Research Report] LIP RR-2003-53, Laboratoire de l'informatique du parallélisme. 2003, 2+28p. ⟨hal-02101756⟩

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