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Diophantine approximation of linear forms over an algebraic number field
Published online by Cambridge University Press: 26 February 2010
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This paper gives an algorithm for generating all the solutions in integers x0, x1…, xn of the inequality
where 1, α1, …,αn are numbers, linearly independent over the rationals, in a real algebraic number field of degree n + 1 ≥ 3 and c is any sufficiently large positive constant. It is well known [2, p. 79] that if c is small enough, then (1) has no integer solutions with x1…, xn not all zero.
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- Copyright © University College London 1973
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