Moments for generalized Farey-Brocot partitions

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Moments for generalized Farey-Brocot partitions

Nikolay Moshchevitin and Michael Vielhaber

Source: Funct. Approx. Comment. Math. Volume 38, Number 2 (2008), 131-157.

Abstract

We prove new asymptotic formulas for some two-dimensional Farey-Brocot nets.

Primary Subjects: 11J70

Keywords: multidimensional continued fractions; Farey sequences; Brocot sequences

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Permanent link to this document: http://projecteuclid.org/euclid.facm/1229696536
Mathematical Reviews number (MathSciNet): MR2492853
Zentralblatt MATH identifier: 05620904

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