ArticleOriginal scientific text

Title

Quartic power series in _3((T-1)) with bounded partial quotients

Authors 1

Affiliations

  1. Institut de Mathématiques de Bordeaux, Université de Bordeaux I, 351 Cours de la Libération, F33405 Talence, France

Bibliography

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  2. L. Baum and M. Sweet, Badly approximable power series in characteristic 2, ibid. 105 (1977), 573-580.
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  4. A. Lasjaunias, Continued fractions for algebraic formal power series over a finite base field, Finite Fields Appl. 5 (1999), 46-56.
  5. A. Lasjaunias and B. de Mathan, Differential equations and diophantine approximation in positive characteristic, Monatsh. Math. 128 (1999), 1-6.
  6. K. Mahler, On a theorem of Liouville in fields of positive characteristic, Canad. J. Math. 1 (1949), 397-400.
  7. B. de Mathan, Approximation exponents for algebraic functions in positive characteristic, Acta Arith. 60 (1992), 359-370.
  8. W. Mills and D. Robbins, Continued fractions for certain algebraic power series, J. Number Theory 23 (1986), 388-404.
  9. W. M. Schmidt, On continued fractions and diophantine approximation in power series fields, Acta Arith., to appear.
  10. D. Thakur, Diophantine approximation exponents and continued fractions for algebraic power series, J. Number Theory, to appear.
  11. J. F. Voloch, Diophantine approximation in positive characteristic, Period. Math. Hungar. 19 (1988), 217-225.
Pages:
49-59
Main language of publication
English
Received
1999-06-11
Accepted
2000-01-17
Published
2000
Exact and natural sciences