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On Zaremba's Conjecture

Published 2 Mar 2011 in math.NT | (1103.0422v2)

Abstract: It is shown that there is a constant A and a density one subset S of the positive integers, such that for all q in S there is some 1<=p<q, (p, q)=1, so that p/q has all its partial quotients bounded by A.

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