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arXiv · 0708.0080

Farey Statistics in Time n^{2/3} and Counting Primitive Lattice Points in Polygons

Mihai Patrascu
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Abstract

We present algorithms for computing ranks and order statistics in the Farey sequence, taking time O (n^{2/3}). This improves on the recent algorithms of Pawlewicz [European Symp. Alg. 2007], running in time O (n^{3/4}). We also initiate the study of a more general algorithmic problem: counting primitive lattice points in planar shapes.

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BibTeXRIS

Mihai Patrascu. 2007-11-02. Farey Statistics in Time n^{2/3} and Counting Primitive Lattice Points in Polygons. https://arxiv.org/abs/0708.0080

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