Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples
Number Theory
2021-02-05 v2
Abstract
Assuming Dickson's conjecture, we obtain multidimensional analogues of recent results on the behavior of certain multiplicative arithmetic functions near twin-prime arguments. This is inspired by analogous unconditional theorems of Schinzel undertaken without primality assumptions.
Cite
@article{arxiv.2004.13208,
title = {Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples},
author = {Stephan Ramon Garcia and Gabe Udell and Jiahui Yu},
journal= {arXiv preprint arXiv:2004.13208},
year = {2021}
}
Comments
12 pages