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A theorem on diophantine approximations
Published online by Cambridge University Press: 17 April 2009
Abstract
If S is a set of positive integers which contains 1, 2, …, n–1, but not n or any multiple of n, where n ≥ 2, then
Here R is the field of real numbers, and ∥α∥ denotes the distance of α from the nearest integer.
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- Copyright © Australian Mathematical Society 1976
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