Zaremba’s conjecture

By Jean Bourgain, Alex Kontorovich. 100 Years of Math Milestones, 2011

96 citations recorded by the source corpus.

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

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/73f893c5112ed8c3b290315da4672829480e3799