Simultaneous approximation to algebraic numbers by elements of a number field

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1975 Germany English Publisher:Springer Science and Business Media LLCJournal:Monatshefte f�r Mathematik, volume 79, pages 55-66 (issn: 0026-9255, eissn: 1436-5081,

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Authors: Schmidt, Wolfgang M.;

doi: 10.1007/bf01533775

Simultaneous approximation to algebraic numbers by elements of a number field

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Abstract

A special case of the main result is as follows. Given a number fieldK a number ɛ>0 and real or complex algebraic numbers ξ1,...,ξn with 1, ξ1,...,ξn linearly independent overK, there are only finitely many α=(α1,...,αn) with components inK and with |ξ1,...,α1| whereH(α) is a suitably defined height.

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Germany

Related Organizations

University of Colorado Boulder
United States
University of Colorado System
United States
DigiZeitschriften
Germany

Keywords

Approximation by numbers from a fixed field, 510.mathematics, Approximation to algebraic numbers, Article

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