Geodesic
Continued Fractions, Jacobi Symbols, and Quadratic Diophantine Equations
Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 218-225

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The results herein continue observations on norm form equations and continued fractions begun and continued in the works [1]−[3], and [5]−[6].
DOI : 10.4153/CMB-2000-029-8
Mots-clés : 11R11, 11D09, 11R29, 11R65 
Mollin, R. A.; Poorten, A. J. van der. Continued Fractions, Jacobi Symbols, and Quadratic Diophantine Equations. Canadian mathematical bulletin, Tome 43 (2000) no. 2, pp. 218-225. doi: 10.4153/CMB-2000-029-8
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[1] [1] Chowla, P. and Chowla, S., Problems on periodic simple continued fractions. Proc. Nat. Acad. Sci. U.S.A. 69(1972), 37–45. Google Scholar

[2] [2] Friesen, C., Legendre symbols and continued fractions. Acta Arith. LIX(1991), 365–379. Google Scholar

[3] [3] Mollin, R. A., Jacobi symbols, ambiguous ideals, and continued fractions. Acta Arith. (4) LXXXV(1998), 331– 349. Google Scholar

[4] [4] Mollin, R. A., Quadratics. CRC Press, Boca Raton-New York-London, 1996. Google Scholar

[5] [5] Mollin, R. A., van der Poorten, A. J., and Williams, H. C., Halfway to a solution of x2 − Dy2 = −3. Th, J.éorie Nombres, Bordeaux 6(1994), 421–459. Google Scholar

[6] [6] Schinzel, A., On two conjectures of P. Chowla and S. Chowla concerning continued fractions, Ann. Mat. Appl. 98(1974), 111–117. Google Scholar

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