Higher moments of distances between consecutive Ford spheres
Number Theory
2018-09-27 v1
Abstract
In previous work the second author derived an asymptotic formula for the sum of the distances between centers of consecutive Ford spheres. In this paper we extend these results by proving asymptotic formulas for higher moments of the distances. Our proofs rely on lattice point counting estimates with error terms coming from the Gauss circle problem.
Keywords
Cite
@article{arxiv.1809.09743,
title = {Higher moments of distances between consecutive Ford spheres},
author = {Alan Haynes and Kayleigh Measures},
journal= {arXiv preprint arXiv:1809.09743},
year = {2018}
}
Comments
15 pages