Generalized notions of continued fractions : ergodicity and number theoretic applications

著者

    • Fernández Sánchez, Juan (Mathematician)
    • López-Salazar Codes, Jerónimo
    • Seoane Sepúlveda, Juan B.
    • Trutschnig, Wolfgang

書誌事項

Generalized notions of continued fractions : ergodicity and number theoretic applications

Juan Fernández Sánchez, Jerónimo López-Salazar Codes, Juan B. Seoane Sepúlveda, Wolfgang Trutschnig

（Monographs and research notes in mathematics）（A Chapman & Hall book）

Chapman & Hall/CRC, 2023

1st ed

  • :hbk

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注記

Includes bibliographical references

内容説明・目次

内容説明

Features Suitable for graduate students and senior researchers. Written by international senior experts in number theory. Contains the basic background, including some elementary results, that the reader may need to know before hand, making it a self-contained volume.

目次

  • 1. Generalized Lehner Continued Fractions. 2. a-modified Farey Series. 3. Ergodic Aspects of the Generalized Lehner Continued Fractions. 4. The a-simple Continued Fraction. 5. The Generalized Khintchine Constant. 6. The Entropy of the System ([0
  • 1]
  • ss
  • a
  • Ta). 7. The Natural Extension of ([0
  • 1]
  • ss
  • a
  • Ta). 8. The Dynamical System ([0
  • 1]
  • ss
  • va
  • Qa). 9. Generalized Hirzebruch-Jung Continued Fractions. 10. The Entropy of ([0
  • 1]
  • ss
  • a
  • Ha). 11. The Natural Extension of ([0
  • 1]
  • ss
  • a
  • Ha). 12. A New Generalization of the Farey Series.

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