# Quartic power series in ${}_{3}\left(\left({T}^{-1}\right)\right)$ with bounded partial quotients

Acta Arithmetica (2000)

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

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top## How to cite

topLasjaunias, 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

top- [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] L. Baum and M. Sweet, Badly approximable power series in characteristic 2, ibid. 105 (1977), 573-580. Zbl0352.10017
- [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] 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. Zbl0953.11024
- [6] K. Mahler, On a theorem of Liouville in fields of positive characteristic, Canad. J. Math. 1 (1949), 397-400. Zbl0033.35203
- [7] B. de Mathan, Approximation exponents for algebraic functions in positive characteristic, Acta Arith. 60 (1992), 359-370. Zbl0763.11048
- [8] W. Mills and D. Robbins, Continued fractions for certain algebraic power series, J. Number Theory 23 (1986), 388-404. Zbl0591.10021
- [9] W. M. Schmidt, On continued fractions and diophantine approximation in power series fields, Acta Arith., to appear. Zbl0987.11041
- [10] D. Thakur, Diophantine approximation exponents and continued fractions for algebraic power series, J. Number Theory, to appear. Zbl0966.11029
- [11] J. F. Voloch, Diophantine approximation in positive characteristic, Period. Math. Hungar. 19 (1988), 217-225. Zbl0661.10050

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