Geodesic
On the negative Pell equation
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 25, Tome 383 (2010), pp. 53-62

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Let $\varepsilon$ be the fundamental unit of a field $Q(\sqrt d)$. In the paper it is proved that $\varepsilon>d^{3/2}/\log^2d$ for almost all $d$ such that $N(\varepsilon)=-1$. Bibl. 6 titles. 
@article{ZNSL_2010_383_a2,
     author = {E. P. Golubeva},
     title = {On the negative {Pell} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {53--62},
     publisher = {mathdoc},
     volume = {383},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a2/}
}
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E. P. Golubeva. On the negative Pell equation. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 25, Tome 383 (2010), pp. 53-62. http://geodesic.mathdoc.fr/item/ZNSL_2010_383_a2/