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concerning the source of a theorem about Diophantine approximation
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Statenent: for an arbitrary positive non-decreasing function f over positive intgers, there exists a real number A such that |A - p/q| < 1/f(q) holds for infinitely many coprimes p and q. This should be true but can someone tell me the theorem's name/who is it attributed to? I came across this in the context of approximation by periodic transformation in ergodic theory, where the exact source is not mentioned.
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