On a Conjecture about Sums Involving Farey Fractions
Number Theory
2026-04-06 v1
Abstract
In this paper, we prove a conjecture by Daniele Mundici on the sum of squared distances between consecutive elements in the -th Farey sequence for and .
Cite
@article{arxiv.2604.02475,
title = {On a Conjecture about Sums Involving Farey Fractions},
author = {Anji Dong and Xinyi Li and Vi Anh Nguyen},
journal= {arXiv preprint arXiv:2604.02475},
year = {2026}
}
Comments
8 pages