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Some Diophantine inequalities
Published online by Cambridge University Press: 26 February 2010
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Let →(X) be a function of the n variables (X) = (X1, …, Xn) defined for all real (X). A fundamental problem in the theory of Diophantine approximation is to prove the existence of real numbers (X) ≡ (x) (mod 1), where (x) = (x1, …, xn) is any given set of real numbers, for which
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- Copyright © University College London 1955
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* See Swinnerton-Dyer, H. P. F., Proc. Cambridge Phil. Soc., 50 (1954), 209–219CrossRefGoogle Scholar, Lemma (§4), and a paper by Birch and Swinnerton-Dyer to appear in Mathematika.
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