Dirichlet's approximation theorem: Difference between revisions

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will be within 1/6 of an integer, either above or below. Likewise, at least one of the first 20 integer multiples of α will be within 1/21 of an integer.

Dirichlet's approximation theorem shows that [[Roth's theorem]] is best possible in the sense that the occurring exponent cannot be increased, and thereby improved, to -2.

==External link==