Square-free values of $\mathbf{n^2+n+1}$
Number Theory
2023-11-14 v3
Abstract
In this paper we show that there exist infinitely many square-free numbers of the form . We achieve this by deriving an asymptotic formula by improving the reminder term from previous results.
Keywords
Cite
@article{arxiv.2205.02488,
title = {Square-free values of $\mathbf{n^2+n+1}$},
author = {S. I. Dimitrov},
journal= {arXiv preprint arXiv:2205.02488},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2004.09975