On A Conjecture of Zaremba's

Details On A Conjecture of Zaremba's On A Conjecture of Zaremba's

2011-07-19

arxiv.org/abs/1107.3776v1

Mathematics

Number Theory

96 pages, 10 figures

Scientific paper

Zaremba's 1971 conjecture predicts that every integer appears as the
denominator of a finite continued fraction whose partial quotients are bounded
by an absolute constant. We confirm this conjecture for a set of density one.

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