Quartic power series in $𝔽_3((T^{-1}))$ with bounded partial quotients

• Autorzy: Alain Lasjaunias
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 95
• Numer: 1
• Strony: 49-59

Daty

wydano

2000

otrzymano

1999-06-11

poprawiono

2000-01-17

Twórcy

autor

Alain Lasjaunias

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

Bibliografia

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• [2] L. Baum and M. Sweet, Badly approximable power series in characteristic 2, ibid. 105 (1977), 573-580.
• [3] A. Lasjaunias, Diophantine approximation and continued fraction expansions of algebraic power series in positive characteristic, J. Number Theory 65 (1997), 206-225.
• [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.