Efficient computing of n-dimensional simultaneous Diophantine approximation problems

Author:

Kovács Attila1,Tihanyi Norbert1

Affiliation:

1. Eötvös Loránd University Faculty of Informatics

Abstract

Abstract In this paper we consider two algorithmic problems of simultaneous Diophantine approximations. The first algorithm produces a full solution set for approximating an irrational number with rationals with common denominators from a given interval. The second one aims at finding as many simultaneous solutions as possible in a given time unit. All the presented algorithms are implemented, tested and the PariGP version made publicly available.

Publisher

Walter de Gruyter GmbH

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