The negative Pell equation
Number Theory
2019-08-08 v2
Abstract
By applying methods recently developed by A. Smith with regards to Goldfeld's conjecture, we show that the density of square-free integers in for which the negative Pell equation has a solution is as predicted by the model of Stevenhagen.
Cite
@article{arxiv.1907.13105,
title = {The negative Pell equation},
author = {Erick Knight and Stanley Yao Xiao},
journal= {arXiv preprint arXiv:1907.13105},
year = {2019}
}
Comments
We made a mistake regarding applying A. Smith's methods, in particular eq. (9.8) in our paper is not valid