Some manifolds of Khinchin type for convergence
Number Theory
2016-02-05 v1
Abstract
Recently, Beresnevich, Vaughan, Velani, and Zorin (arXiv: 1506.09049) gave some sufficient conditions for a manifold to be of Khinchin type for convergence. We show that their techniques can be used in a more optimal way to yield stronger results. In the process we also improve a theorem of Dodson, Rynne, and Vickers ('89).
Cite
@article{arxiv.1602.01727,
title = {Some manifolds of Khinchin type for convergence},
author = {David Simmons},
journal= {arXiv preprint arXiv:1602.01727},
year = {2016}
}