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

โœ Scribed by Alain Lasjaunias

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
112 KB
Volume
128
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES

The Continued Fraction Expansion of An A
The Continued Fraction Expansion of An Algebraic Power Series Satisfying A Quartic Equation
โœ M.W. Buck; D.P. Robbins ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 280 KB

Some time ago Mills and Robbins (1986, J. Number Theory 23, No. 3, 388-404) conjectured a simple closed form for the continued fraction expansion of the power series solution \(f=a_{1} x^{-1}+a_{2} x^{-2}+\cdots\) to the equation \(f^{4}+f^{2}-x f+1=0\) when the base field is GF(3). In this paper we

Continued Fractions for Algebraic Formal
Continued Fractions for Algebraic Formal Power Series over a Finite Base Field
โœ Alain Lasjaunias ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB

We consider the continued fraction expansion of certain algebraic formal power series when the base field is finite. We are concerned with the property of the sequence of partial quotients being bounded or unbounded. We formalize the approach introduced by Baum and Sweet (1976), which applies to the