Algebraic Computations with Continued Fractions

Journal of Number Theory

Volumn 73, Issue 1, 1998, Pages 92-121

  Liardet, Pierre ^a   Stambul, Pierre ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038902014     PISSN: 0022314X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jnth.1998.2274     Document Type: Article

References (13)

1. Ackerman M., Hermann R. Hilbert's Invariant Theory Papers. 1978;Math. Sci. Press, Brookline.
2. Adam B., Rhin G. Algorithmes des fractions continues et de Jacobi-Perron. Bull. Australian Math. Soc. 53:1996;341-350.
3. Baker A. Rational approximations to 2 . Quart. J. Math. Oxford Ser. (2). 15:1964;375-383.
4. Gantmacher F. R. Théorie des matrices. 1966;Dunod, Paris.
5. B. Gosper, Continued fraction arithmetic, MIT AI, HAKMEN.
6. Hall M. Jr. On the sum and product of continued fractions. Ann. Math. 48:1947;966-993.
7. Lang S., Trotter H. Continued fractions for some algebraic numbers. J. Reine Angew. Math. 255:1972;112-134.
8. P. Liardet, P. Stambul, Relations bihomographiques et fractions continuées périodiques.
9. Perron O. Die Lehre von die Kettenbrüchen. 1954;Teubner, Leipzig. p. 110-138.
10. Raney G. N. On continued fraction and finite automata. Math. Ann. 206:1973;265-283.
11. P. Stambul, Contribution à l'étude des propriétés arithmétiques des fractions continuées, Thèse, Université de Provence, Marseille, France.
12. Stambul P. A generalization of Perron's theorem about Hurwitzian numbers. Acta Arith. 80:1997;141-148.
13. Wall S. H. Analytic Theory of Continued Fractions. 1948;Van Nostrand, New York.