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In this paper, we exhibit the explicit forms of continued fraction expansions of a family of algebraic power series over a finite field and we study their asymptotic distribution of approximation exponents.
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참고문헌 (8)
참고문헌 신청
K. Ayadi / 2015 / On the approximation exponent of some hyperquadratic power series / Bull. Belg. Math. Soc. Simon Stevin 22(3):511~520
L. E. Baum / 1976 / Continued fractions of algebraic power series in charac-teristic 2 / Ann. of Math. (2) 103(3):593~610
H. -J. Chen / 2013 / Distribution of Diophantine approximation exponents for algebraic quanti-ties in finite characteristic / J. Number Theory 133(11):3620~3644
A. Lasjaunias / 2008 / Continued fractions for hyperquadratic power series over a finite field / Finite Fields Appl 14(2):329~350
B. de Mathan / 1992 / Approximation exponents for algebraic functions in positive character-istic / Acta Arith 60(4):359~370
L. E. Baum / 1976 / Continued fractions of algebraic power series in charac-teristic 2 / Ann. of Math. (2) 103(3):593~610
H. -J. Chen / 2013 / Distribution of Diophantine approximation exponents for algebraic quanti-ties in finite characteristic / J. Number Theory 133(11):3620~3644
A. Lasjaunias / 2008 / Continued fractions for hyperquadratic power series over a finite field / Finite Fields Appl 14(2):329~350
B. de Mathan / 1992 / Approximation exponents for algebraic functions in positive character-istic / Acta Arith 60(4):359~370
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