Neighboring Fractions in Farey Subsequences
Number Theory
2010-05-11 v5 Combinatorics
Abstract
We present explicit formulas for the computation of the neighbors of several elements of Farey subsequences.
Cite
@article{arxiv.0801.1981,
title = {Neighboring Fractions in Farey Subsequences},
author = {Andrey O. Matveev},
journal= {arXiv preprint arXiv:0801.1981},
year = {2010}
}
Comments
14 pages; v.2,3 - misprints in Corollary 2.3(ii) and Remark 4.1(iii) corrected; v.4 - minor improvements; v.5 - new Section 2 and references added.