Hausdorff dimension of the set concerning with Borel-Bernstein theory in L\uroth expansions

Luming Shen 2017년
논문상세정보
    • 저자 Luming Shen
    • 제어번호 103363947
    • 학술지명 대한수학회지
    • 권호사항 Vol. 54 No. 4 [ 2017 ]
    • 발행처 대한수학회
    • 발행처 URL http://www.kms.or.kr
    • 자료유형 학술저널
    • 수록면 1301-1316
    • 언어 English
    • 출판년도 2017
    • 등재정보 KCI등재
    • 소장기관 건국대학교 상허기념중앙도서관 경북대학교 중앙도서관 계명대학교 동산도서관 성균관대학교 삼성학술정보관 성균관대학교 삼성학술정보관 영남대학교 과학도서관
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' Hausdorff dimension of the set concerning with Borel-Bernstein theory in L\uroth expansions' 의 참고문헌

  • Zur metrischen Theorie der Lurothschen Entwicklungen der reellen Zahle
    T. Salat Czechoslovak Math. J 18 3 489-522 [1968]
  • Ueber eine eindeutige Entwichelung von Zahlen in eine unendliche Reihe
    J. Luroth Math. Ann 21 3 411-423 [1883]
  • The fractional dimensional theory of continued fractions
    I. J. Good Proc. Cambridge Philos. Soc 37 199-228 [1941]
  • The fractional dimensional theory in Luroth expansion
    L. M. Shen Czechoslovak Math. J 61(136) 3 795-807 [2011]
  • Techniques in Fractal Geometry
    K. J. Falconer - [1997]
  • Reprentations of Real Numbers by Infinite Series
    J. Galambos - [1976]
  • On the fractional dimension of sets of continued fractions
    T. Luczak Mathematika 44 1 50-53 [1997]
  • On the error sum-function of Luroth series
    L. M. Shen J. Math. Anal. Appl 329 2 1440-1445 [2006]
  • On approximation by Luroth series
    K. Dajani J. Theor. Nombres Bordeaux 8 2 331-346 [1996]
  • Luroth series and their ergodic properties
    H. Jager Nederl. Akad. Wetensch. Proc. Ser. A 31 31-42 [1969]
  • Hausdorff dimension of certain sets arising in continued fraction expansions
    B. W. Wang Adv. Math 218 5 1319-1339 [2008]
  • Frequency of digits in the Luroth expansion
    L. Barreira J. Number Theory 129 6 1479-1490 [2009]
  • Fractal Geometry: Mathematical Foundations and Application
    K. J. Falconer - [1990]
  • Ergodic Theory of Numbers
    K. Dajani - [2002]
  • Ergodic Theory of Fibred Systems and Metric Number Theory
    F. Schweiger - [1995]
  • Dimension of Besicovitch-Eggleston sets in the countable symbolic space
    A. H. Fan Nonlinearity 23 5 1185-1197 [2010]
  • A note on the largest digits in Luroth expansion
    L. M. Shen Int. J. Number Theory 10 4 1015-1023 [2014]