@article{34886,
abstract = {{We give asymptotic upper and lower bounds for the number of squarefree d (0 < d ≤ X) such that the equation x² − dy²= −1 is solvable. These estimates, as usual, can equivalently be interpreted in terms of real quadratic fields with a fundamental unit with norm −1 and give strong evidence in the direction of a conjecture due to P. Stevenhagen.}},
author = {{Fouvry, Étienne and Klüners, Jürgen}},
issn = {{0003-486X}},
journal = {{Annals of Mathematics}},
keywords = {{Statistics, Probability and Uncertainty, Mathematics (miscellaneous)}},
number = {{3}},
pages = {{2035--2104}},
publisher = {{Annals of Mathematics}},
title = {{{On the negative Pell equation}}},
doi = {{10.4007/annals.2010.172.2035}},
volume = {{172}},
year = {{2010}},
}