Quartic power series in 3 ( ( T - 1 ) ) with bounded partial quotients

Alain Lasjaunias

Acta Arithmetica (2000)

  • Volume: 95, Issue: 1, page 49-59
  • ISSN: 0065-1036

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Lasjaunias, Alain. "Quartic power series in $_3((T^{-1}))$ with bounded partial quotients." Acta Arithmetica 95.1 (2000): 49-59. <http://eudml.org/doc/207440>.

@article{Lasjaunias2000,
author = {Lasjaunias, Alain},
journal = {Acta Arithmetica},
keywords = {quartic power series; continued fraction expansion},
language = {eng},
number = {1},
pages = {49-59},
title = {Quartic power series in $_3((T^\{-1\}))$ with bounded partial quotients},
url = {http://eudml.org/doc/207440},
volume = {95},
year = {2000},
}

TY - JOUR
AU - Lasjaunias, Alain
TI - Quartic power series in $_3((T^{-1}))$ with bounded partial quotients
JO - Acta Arithmetica
PY - 2000
VL - 95
IS - 1
SP - 49
EP - 59
LA - eng
KW - quartic power series; continued fraction expansion
UR - http://eudml.org/doc/207440
ER -

References

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  1. [1] L. Baum and M. Sweet, Continued fractions of algebraic power series in characteristic 2, Ann. of Math. 103 (1976), 593-610. Zbl0312.10024
  2. [2] L. Baum and M. Sweet, Badly approximable power series in characteristic 2, ibid. 105 (1977), 573-580. Zbl0352.10017
  3. [3] A. Lasjaunias, Diophantine approximation and continued fraction expansions of algebraic power series in positive characteristic, J. Number Theory 65 (1997), 206-225. Zbl0874.11051
  4. [4] A. Lasjaunias, Continued fractions for algebraic formal power series over a finite base field, Finite Fields Appl. 5 (1999), 46-56. 
  5. [5] A. Lasjaunias and B. de Mathan, Differential equations and diophantine approximation in positive characteristic, Monatsh. Math. 128 (1999), 1-6. Zbl0953.11024
  6. [6] K. Mahler, On a theorem of Liouville in fields of positive characteristic, Canad. J. Math. 1 (1949), 397-400. Zbl0033.35203
  7. [7] B. de Mathan, Approximation exponents for algebraic functions in positive characteristic, Acta Arith. 60 (1992), 359-370. Zbl0763.11048
  8. [8] W. Mills and D. Robbins, Continued fractions for certain algebraic power series, J. Number Theory 23 (1986), 388-404. Zbl0591.10021
  9. [9] W. M. Schmidt, On continued fractions and diophantine approximation in power series fields, Acta Arith., to appear. Zbl0987.11041
  10. [10] D. Thakur, Diophantine approximation exponents and continued fractions for algebraic power series, J. Number Theory, to appear. Zbl0966.11029
  11. [11] J. F. Voloch, Diophantine approximation in positive characteristic, Period. Math. Hungar. 19 (1988), 217-225. Zbl0661.10050

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