Geodesic
Pell Equations: Non-Principal Lagrange Criteria and Central Norms
Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 774-782

Voir la notice de l'article provenant de la source Cambridge University Press

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 ${{x}^{2}}\,-\,D{{y}^{2}}\,=\,-1$ in terms of congruence conditions modulo $D$ .
DOI : 10.4153/CMB-2011-118-9
Mots-clés : 11D09, 11A55, 11R11, 11R29, Pell's equation, continued fractions, central norms 
Mollin, R. A.; Srinivasan, A. Pell Equations: Non-Principal Lagrange Criteria and Central Norms. Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 774-782. doi: 10.4153/CMB-2011-118-9
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