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On a class of diophantine inequalities
Published online by Cambridge University Press: 17 April 2009
Abstract
As a special case of more general results, it is proved in this note that, if α is any real number and δ any positive number, then there exists a positive integer X such that the inequality
has infinitely many solutions in positive integers h and Yh.
The method depends on the study of infinite sequences of real linear forms in a fixed number of variables. It has relations to that used by Kronecker in the proof of his classical theorem and can be generalised.
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- Copyright © Australian Mathematical Society 1973
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