On Robbins' example of a continued fraction expansion for a quartic power series over

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• 作者：Alain Lasjaunias
• 关键词：Continued fractions ; Fields of power series ; Finite fields
• 刊名：Journal of Number Theory
• 出版年：2008
• 出版时间：May 2008
• 年：2008
• 卷：128
• 期：5
• 页码：1109-1115
• 全文大小：112 K

文摘

The continued fraction expansion for a quartic power series over the finite field c2c10c788480deab4222c2""> was conjectured first in [W. Mills, D. Robbins, Continued fractions for certain algebraic power series, J. Number Theory 23 (1986) 388–404] and later in a more precise way in [W. Buck, D. Robbins, The continued fraction of an algebraic power series satisfying a quartic equation, J. Number Theory 50 (1995) 335–344]. Here this conjecture is proved by describing the continued fraction expansion for a large family of algebraic power series over a finite field.