Moments for generalized Farey-Brocot partitions

Nikolay Moshchevitin; Michael Vielhaber

doi:10.7169/facm/1229696536

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Home > Journals > Funct. Approx. Comment. Math. > Volume 38 > Issue 2 > Article

September 2008 Moments for generalized Farey-Brocot partitions

Nikolay Moshchevitin, Michael Vielhaber

Funct. Approx. Comment. Math. 38(2): 131-157 (September 2008). DOI: 10.7169/facm/1229696536

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Abstract

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

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Nikolay Moshchevitin. Michael Vielhaber. "Moments for generalized Farey-Brocot partitions." Funct. Approx. Comment. Math. 38 (2) 131 - 157, September 2008. https://doi.org/10.7169/facm/1229696536

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Published: September 2008

First available in Project Euclid: 19 December 2008

zbMATH: 1197.11078

MathSciNet: MR2492853

Digital Object Identifier: 10.7169/facm/1229696536

Subjects:

Primary: 11J70

Keywords: Brocot sequences , Farey sequences , multidimensional continued fractions

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Funct. Approx. Comment. Math.

Vol.38 • No. 2 • September 2008

Adam Mickiewicz University, Faculty of Mathematics and Computer Science

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Nikolay Moshchevitin, Michael Vielhaber "Moments for generalized Farey-Brocot partitions," Functiones et Approximatio Commentarii Mathematici, Funct. Approx. Comment. Math. 38(2), 131-157, (September 2008)

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