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Monatshefte fur Mathematik
Volumn 125, Issue 1, 1998, Pages 1-14
Convergence of continued fraction type algorithms and generators
Author keywords

Continued fractions; Convergence; Expansion; Generators
Indexed keywords

EID: 0032433441     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01489454     Document Type: Article
Times cited : (1)
References (13)
  • 1
    • 0003211445 scopus 로고
    • The Jacobi-Perron algorithm. Its theory and application
    • New York: Springer
    • BERNSTEIN L (1971) The Jacobi-Perron Algorithm. Its Theory and Application. Lect Notes Math 207: New York: Springer
    • (1971) Lect Notes Math , vol.207
    • Bernstein, L.1
  • 4
    • 0001344537 scopus 로고
    • Almost everywhere exponential convergence of the modified Jacobi-Perron algorithm
    • ITO S, KEANE MS, OHTSUKI M (1993) Almost everywhere exponential convergence of the modified Jacobi-Perron algorithm. Ergodic Th and Dyn Sys 13, 319-334
    • (1993) Ergodic Th and Dyn Sys , vol.13 , pp. 319-334
    • Ito, S.1    Keane, M.S.2    Ohtsuki, M.3
  • 5
    • 0002627337 scopus 로고
    • A new class of continued fractions
    • KRAAIKAMP C (1991) A new class of continued fractions. Acta Arithmetica LVII, 1-39
    • (1991) Acta Arithmetica , vol.57 , pp. 1-39
    • Kraaikamp, C.1
  • 6
    • 0001377445 scopus 로고
    • The quality of the diophantine approximations found by the Jacobi-Perron algorithm and related algorithms
    • LAGARIAS JC (1993) The quality of the diophantine approximations found by the Jacobi-Perron algorithm and related algorithms, Mh Math 115: 299-328
    • (1993) Mh Math , vol.115 , pp. 299-328
    • Lagarias, J.C.1
  • 7
    • 0000819272 scopus 로고
    • A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn. Studies in number theory (LOMI), 4
    • PODSYPANIN EV (1977) A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn. Studies in Number Theory (LOMI), 4. Zap Naucn Sem Leningrad Otdel Mat Inst Steklov 67: 184-194. English translation: J Soviet Math 16: 885-893 (1981)
    • (1977) Zap Naucn Sem Leningrad Otdel Mat Inst Steklov , vol.67 , pp. 184-194
    • Podsypanin, E.V.1
  • 8
    • 0000716411 scopus 로고
    • PODSYPANIN EV (1977) A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn. Studies in Number Theory (LOMI), 4. Zap Naucn Sem Leningrad Otdel Mat Inst Steklov 67: 184-194. English translation: J Soviet Math 16: 885-893 (1981)
    • (1981) J Soviet Math , vol.16 , pp. 885-893
  • 9
    • 0003247307 scopus 로고
    • The metrical theory of the Jacobi-Perron algorithm
    • Berlin Heidelberg New York: Springer
    • SCHWEIGER F (1973) The metrical theory of the Jacobi-Perron algorithm. Lect Notes Math 334. Berlin Heidelberg New York: Springer
    • (1973) Lect Notes Math , vol.334
    • Schweiger, F.1
  • 10
    • 0013556538 scopus 로고
    • A modified Jacobi-Perron algorithm with explicitly given invariant measure
    • Berlin-Heidelberg New York: Springer
    • SCHWEIGER F (1978) A modified Jacobi-Perron algorithm with explicitly given invariant measure. Lect Notes Math 729. Berlin-Heidelberg New York: Springer
    • (1978) Lect Notes Math , vol.729
    • Schweiger, F.1
  • 11
    • 0013487874 scopus 로고
    • Invariant measures for maps of continued fraction type
    • SCHWEIGER F (1991) Invariant measures for maps of continued fraction type. J Number Theory 39: 162-174
    • (1991) J Number Theory , vol.39 , pp. 162-174
    • Schweiger, F.1
  • 13
    • 84972487833 scopus 로고
    • On a Bernoulli property for multidimensional mapping with finite range structure
    • YURI M (1986) On a Bernoulli property for multidimensional mapping with finite range structure. Tokyo J Math 9: 457-485
    • (1986) Tokyo J Math , vol.9 , pp. 457-485
    • Yuri, M.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.