Some new results in quantitative Diophantine approximation
Number Theory
2023-11-20 v2
Abstract
In this article we establish two new results on quantitative Diophantine approximation for one-parameter families of diagonal ternary indefinite forms. In the first result, we consider quadratic forms taking values at prime points. In the second, we examine inhomogeneous forms of arbitrary degree taking values at integer points.
Cite
@article{arxiv.2111.12069,
title = {Some new results in quantitative Diophantine approximation},
author = {Anish Ghosh and V. Vinay Kumaraswamy},
journal= {arXiv preprint arXiv:2111.12069},
year = {2023}
}
Comments
Change in title, section 4 expanded and other minor edits. 24 Pages; accepted for publication in IMRN