Let ε be the fundamental unit of a field \( Q\left( {\sqrt {d} } \right) \). In the paper, it is proved that ε > d 3/2/ log2 d for almost all d such that N(ε) = −1. Bibliography: 6 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 383, 2010, pp. 53–62.
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Golubeva, E.P. On the negative Pell equation. J Math Sci 178, 144–149 (2011). https://doi.org/10.1007/s10958-011-0533-1
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DOI: https://doi.org/10.1007/s10958-011-0533-1