Moments for generalized Farey-Brocot partitions
Number Theory
2007-05-23 v1
Abstract
We generalize the Farey-Brocot partition to a twodimensional continued fraction algorithm and generalized Farey-Brocot nets. We give an asymptotic formula for the moments of order \beta.
Keywords
Cite
@article{arxiv.math/0703566,
title = {Moments for generalized Farey-Brocot partitions},
author = {Nikolai Moshchevitin and Michael Vielhaber},
journal= {arXiv preprint arXiv:math/0703566},
year = {2007}
}
Comments
27 pages, 2 figures, submitted to Acta Arithmetica