On the continued fraction expansion of the unique root in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="double-struck">F</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>p</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> of the equation <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>−</mml:mo><mml:mi>T</mml:mi><mml:mi>x</mml:mi><mml:mo>−</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">/</mml:mo><mml:mn>12</mml:mn><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math> and other related hyperquadratic expansions-Reference-Cited by-同舟云学术

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On the continued fraction expansion of the unique root in F(p) of the equation x4+x2−Tx−1/12=0 and other related hyperquadratic expansions

Published:2012-01 Issue:1 Volume:18 Page:26-34
ISSN:1071-5797
Container-title:Finite Fields and Their Applications
language:en
Short-container-title:Finite Fields and Their Applications

Author:

Lasjaunias A.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Engineering,Algebra and Number Theory,Theoretical Computer Science

Reference9 articles.

1. Hyperquadratic power series of degree four;Bluher;Acta Arith.,2006

2. The continued fraction of an algebraic power series satisfying a quartic equation;Buck;J. Number Theory,1995

3. Continued fractions for hyperquadratic power series over a finite field;Lasjaunias;Finite Fields Appl.,2008

4. On Robbinsʼ example of a continued fraction expansion for a quartic power series over F13;Lasjaunias;J. Number Theory,2008

5. Algebraic continued fractions in Fq((T−1)) and recurrent sequences in Fq;Lasjaunias;Acta Arith.,2008

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Diophantine approximation and continued fraction expansion for quartic power series over $$\pmb {\mathbb {F}}_{3}$$;Indian Journal of Pure and Applied Mathematics;2021-11-29

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