Quartic power series in 3((T-1)) with bounded partial quotients
Lasjaunias, Alain
Acta Arithmetica, Tome 92 (2000), p. 49-59 / Harvested from The Polish Digital Mathematics Library
Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:207440
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     author = {Lasjaunias, Alain},
     title = {Quartic power series in $\_3((T^{-1}))$ with bounded partial quotients},
     journal = {Acta Arithmetica},
     volume = {92},
     year = {2000},
     pages = {49-59},
     zbl = {0972.11061},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav95z1p49bwm}
}
Lasjaunias, Alain. Quartic power series in $_3((T^{-1}))$ with bounded partial quotients. Acta Arithmetica, Tome 92 (2000) pp. 49-59. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav95z1p49bwm/

[000] [1] L. Baum and M. Sweet, Continued fractions of algebraic power series in characteristic 2, Ann. of Math. 103 (1976), 593-610. | Zbl 0312.10024

[001] [2] L. Baum and M. Sweet, Badly approximable power series in characteristic 2, ibid. 105 (1977), 573-580. | Zbl 0352.10017

[002] [3] A. Lasjaunias, Diophantine approximation and continued fraction expansions of algebraic power series in positive characteristic, J. Number Theory 65 (1997), 206-225. | Zbl 0874.11051

[003] [4] A. Lasjaunias, Continued fractions for algebraic formal power series over a finite base field, Finite Fields Appl. 5 (1999), 46-56.

[004] [5] A. Lasjaunias and B. de Mathan, Differential equations and diophantine approximation in positive characteristic, Monatsh. Math. 128 (1999), 1-6. | Zbl 0953.11024

[005] [6] K. Mahler, On a theorem of Liouville in fields of positive characteristic, Canad. J. Math. 1 (1949), 397-400. | Zbl 0033.35203

[006] [7] B. de Mathan, Approximation exponents for algebraic functions in positive characteristic, Acta Arith. 60 (1992), 359-370. | Zbl 0763.11048

[007] [8] W. Mills and D. Robbins, Continued fractions for certain algebraic power series, J. Number Theory 23 (1986), 388-404. | Zbl 0591.10021

[008] [9] W. M. Schmidt, On continued fractions and diophantine approximation in power series fields, Acta Arith., to appear. | Zbl 0987.11041

[009] [10] D. Thakur, Diophantine approximation exponents and continued fractions for algebraic power series, J. Number Theory, to appear. | Zbl 0966.11029

[010] [11] J. F. Voloch, Diophantine approximation in positive characteristic, Period. Math. Hungar. 19 (1988), 217-225. | Zbl 0661.10050