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1. CMB 2011 (vol 55 pp. 774)

Mollin, R. A.; Srinivasan, A.
Pell Equations: Non-Principal Lagrange Criteria and Central Norms
We provide a criterion for the central norm to be any value in the simple continued fraction expansion of $\sqrt{D}$ for any non-square integer $D>1$. We also provide a simple criterion for the solvability of the Pell equation $x^2-Dy^2=-1$ in terms of congruence conditions modulo $D$.

Keywords:Pell's equation, continued fractions, central norms
Categories:11D09, 11A55, 11R11, 11R29

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