Moments for generalized Farey-Brocot partitions

Details Moments for generalized Farey-Brocot partitions Moments for generalized Farey-Brocot partitions

2007-03-20

arxiv.org/abs/math/0703566v1

Mathematics

Number Theory

27 pages, 2 figures, submitted to Acta Arithmetica

Scientific paper

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.

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