Diophantine approximation of linear forms over an algebraic number field | Mathematika | Cambridge Core

Diophantine approximation of linear forms over an algebraic number field T. W. Cusick (a1) DOI: https://doi.org/10.1112/S0025579300003582 Published online: 01 February 2010AbstractThis paper gives an algorithm for generating all the solutions in integers x0, x1…, xn of the inequalitywhere 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.

Source: Diophantine approximation of linear forms over an algebraic number field | Mathematika | Cambridge Core

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