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Volumn 1423, Issue , 1998, Pages 77-94

The complete analysis of the binary euclidean algorithm

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; NUMBER THEORY;

EID: 84885369694     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/bfb0054853     Document Type: Conference Paper
Times cited : (7)

References (33)
  • 2
    • 84947711584 scopus 로고    scopus 로고
    • Unpublished, cf [Kn, 4.5.2]
    • Richard P. Brent. Unpublished, cf [Kn, 4.5.2]
    • Brent, R.P.1
  • 4
    • 21844483592 scopus 로고    scopus 로고
    • An analysis of the Gaussian Algorithm for Lattice Reduction
    • Extended version in Combinatorics, Probability and Computing
    • Hervé Daudé, Philippe Flajolet, and Brigitte Vallée. An analysis of the Gaussian Algorithm for Lattice Reduction, ANTS T994, Lecture Notes in Computer Science 877, pp 144-158. Extended version in Combinatorics, Probability and Computing (1997) 6, pp 397-433.
    • (1997) ANTS T994, Lecture Notes in Computer Science 877 , vol.6
    • Daudé, H.1    Philippe, F.2    Vallée, B.3
  • 5
    • 0000370703 scopus 로고
    • Généralisation du Théorème d’lkehara
    • Hubert Delange. Généralisation du Théorème d’lkehara. Ann. Sc. ENS, (1954) 71, pp 213-242.
    • (1954) Ann. Sc. ENS , vol.71 , pp. 213-242
    • Delange, H.1
  • 6
    • 0001369613 scopus 로고
    • The number of steps in the Euclidean Algorithm
    • John G. Dixon. The number of steps in the Euclidean Algorithm, Journal of Number Theory 2 (1970) pp 414-422.
    • (1970) Journal of Number Theory , vol.2 , pp. 414-422
    • Dixon, J.G.1
  • 9
    • 0004323528 scopus 로고    scopus 로고
    • Analytic Combinatorics
    • see also INRIA Research Reports 1888, 2026, 2376, 2956
    • Philippe Flajolet and Robert Sedgewick. Analytic Combinatorics, Book in preparation (1999), see also INRIA Research Reports 1888, 2026, 2376, 2956.
    • (1999) Book in preparation
    • Flajolet, P.1    Sedgewick, R.2
  • 10
    • 0001905407 scopus 로고    scopus 로고
    • Continued Fraction Algorithms, Functional Operators and Structure Constants
    • Philippe Flajolet and Brigitte Vallée. Continued Fraction Algorithms, Functional Operators and Structure Constants, Theoretical Computer Science 194 (1998), pp 1-34.
    • (1998) Theoretical Computer Science , vol.194 , pp. 1-34
    • Flajolet, P.1    Vallée, B.2
  • 11
    • 0003244564 scopus 로고
    • Produits tensoriels topologiques et espaces nucléaires
    • Alexandre Grothendieck. Produits tensoriels topologiques et espaces nucléaires, Mem. Am. Math. Soc. 16 (1955)
    • (1955) Mem. Am. Math. Soc , vol.16
    • Grothendieck, A.1
  • 13
    • 0002290603 scopus 로고
    • On the average length of a class of continued fractions
    • P. Turan, New-York, Plenum
    • H. Heilbronn. On the average length of a class of continued fractions, Number Theory and Analysis, ed. by P. Turan, New-York, Plenum, 1969, pp 87-96.
    • (1969) Number Theory and Analysis , pp. 87-96
    • Heilbronn, H.1
  • 14
    • 38249020366 scopus 로고
    • The distribution of badly approximable rationals and continuants with bounded digits II
    • Doug Hensley. The distribution of badly approximable rationals and continuants with bounded digits II, Journal of Number Theory, 34 pp 293-334 (1990)
    • (1990) Journal of Number Theory , vol.34 , pp. 293-334
    • Hensley, D.1
  • 15
    • 38249026137 scopus 로고
    • The Hausdorff dimensions of some continued fraction Cantor sets
    • Doug Hensley. The Hausdorff dimensions of some continued fraction Cantor sets, Journal of Number theory 33, (1989) pp 182-198
    • (1989) Journal of Number theory , vol.33 , pp. 182-198
    • Hensley, D.1
  • 16
    • 0001124812 scopus 로고
    • Continued fraction Cantor sets, Hausdorff dimension, and functional analysis
    • Doug Hensley. Continued fraction Cantor sets, Hausdorff dimension, and functional analysis, Journal of Number Theory 40 (1992) pp 336-358.
    • (1992) Journal of Number Theory , vol.40 , pp. 336-358
    • Hensley, D.1
  • 17
    • 0030138321 scopus 로고    scopus 로고
    • A polynomial time algorithm for the Hausdorff dimension of a continued fraction Cantor set
    • May
    • Doug Hensley. A polynomial time algorithm for the Hausdorff dimension of a continued fraction Cantor set, Journal of Number Theory 58 № 1, May 1996 pp 9-45.
    • (1996) Journal of Number Theory , vol.58 , Issue.1 , pp. 9-45
    • Hensley, D.1
  • 20
    • 0002562682 scopus 로고
    • Continued fractions and related transformations
    • M. K. Tim Bedford and C. Series, Eds. Oxford University Press
    • Dieter H. Mayer. Continued fractions and related transformations, In Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces, M. K. Tim Bedford and C. Series, Eds. Oxford University Press, 1991, pp. 175-222.
    • (1991) Ergodic Theory, Symbolic Dynamics and Hyperbolic Spaces , pp. 175-222
    • Mayer, D.H.1
  • 21
    • 33745244480 scopus 로고
    • Spectral properties of certain composition operators arising in statistical mechanics
    • Dieter H. Mayer. Spectral properties of certain composition operators arising in statistical mechanics, Commun. Math. Phys. 68, 1-8 (1979)
    • (1979) Commun. Math. Phys , vol.68 , pp. 1-8
    • Mayer, D.H.1
  • 22
    • 0000351242 scopus 로고
    • A complex Ruelle-Perron-Frobenius Theorem and two counterexamples
    • Mark Pollicott. A complex Ruelle-Perron-Frobenius Theorem and two counterexamples, Ergod. Th. and Dynm. Sys (1984), 4, pp 135-146
    • (1984) Ergod. Th. and Dynm. Sys , vol.4 , pp. 135-146
    • Pollicott, M.1
  • 25
    • 0000329144 scopus 로고
    • Indiana Univ. Math. J
    • 2, Indiana Univ. Math. J. (1973) 23, pp 471-496
    • (1973) 2 , vol.23 , pp. 471-496
    • Shapiro, J.1    Taylor, P.D.2
  • 27
    • 84968470107 scopus 로고    scopus 로고
    • Compact composition operators on spaces of boundary regular holomorphic functions
    • Joel Shapiro. Compact composition operators on spaces of boundary regular holomorphic functions, Proceedings of the AMS, 100, (1997), pp 49-57
    • (1997) Proceedings of the AMS , vol.100 , pp. 49-57
    • Shapiro, J.1
  • 28
    • 0031459741 scopus 로고    scopus 로고
    • Opérateurs de Ruelle-Mayer généralisés et analyse des algorithmes de Gauss et d’Euclide
    • Brigitte Vallée. Opérateurs de Ruelle-Mayer généralisés et analyse des algorithmes de Gauss et d’Euclide, Acta Arithmetica LXXXI. 2 (1997) pp 101-144.
    • (1997) Acta Arithmetica LXXXI , vol.2 , pp. 101-144
    • Vallée, B.1
  • 29
    • 4243384954 scopus 로고    scopus 로고
    • Algorithms for computing signs of 2 x 2 determinants: Dynamics and average-case algorithms
    • LNCS 1284, Springer Verlag
    • Brigitte Vallée. Algorithms for computing signs of 2 x 2 determinants: dynamics and average-case algorithms, Proceedings of the 8 th Annual European Symposium on Algorithms, ESA’97, pp 486-499, LNCS 1284, Springer Verlag.
    • Proceedings of the 8 th Annual European Symposium on Algorithms, ESA’97 , pp. 486-499
    • Vallée, B.1
  • 30
    • 84947709771 scopus 로고    scopus 로고
    • Les Cahiers du GR-EYC, Université de Caen, to appear in Journal of Number Theory
    • Brigitte Vallée. Fractions continues à contraintes périodiques, Les Cahiers du GR-EYC 1997, Université de Caen, to appear in Journal of Number Theory.
    • (1997) Fractions continues à contraintes périodiques
    • Vallée, B.1
  • 31
    • 84947763440 scopus 로고    scopus 로고
    • Les cahiers du GREYC 1997, Université de Caen; also in Proceedings of RALCOM’97, Santorini Island, October
    • Brigitte Vallée. Dynamical systems and average-case analysis of general tries, Les cahiers du GREYC 1997, Université de Caen; also in Proceedings of RALCOM’97, Santorini Island, October 1997.
    • (1997) Dynamical systems and average-case analysis of general tries
    • Vallée, B.1
  • 32
    • 84947794989 scopus 로고    scopus 로고
    • Unpublished, cf [Kn, 4.5.2]
    • Brigitte Vallée. Unpublished, cf [Kn, 4.5.2]
    • Vallée, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.