On optimal simultaneous rational approximation to <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:mo stretchy="false">(</mml:mo><mml:mi>ω</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mi>ω</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>τ</mml:mi></mml:mrow></mml:msup></mml:math> with <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:mi>ω</mml:mi></mml:math> being some kind of cubic algebraic function-Reference-Cited by-同舟云学术

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On optimal simultaneous rational approximation to (ω,ω2)τ with ω being some kind of cubic algebraic function

Published:2007-10 Issue:2 Volume:148 Page:194-210
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Wang Quanlong,Wang Kunpeng,Dai Zongduo

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference12 articles.

1. Bernstein, The Jacobi–Perron Algorithm, Its Theory And Application, Lecture Notes in Mathematics, vol. 207, Springer, Berlin, 1971.

2. m-continued fraction expansions of multi-Laurent series;Dai;Adv. Math.,2004

3. Multi-continued fraction algorithm on multi-formal Laurent series;Dai;Acta Arithmetica,2006

4. The Jacobi–Perron algorithm on function fields;Feng;Algebra Colloq.,1994

5. Introduction to Number Theory;Hua,1976

Cited by 3 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. Karyon Expansions of Pisot Numbers in Multidimensional Continued Fractions;Journal of Mathematical Sciences;2017-08-12

2. Periodic Karyon Expansions of Algebraic Units in Multidimensional Continued Fractions;Journal of Mathematical Sciences;2017-08-12

3. Periodic karyon expansions of cubic irrationals in continued fractions;Proceedings of the Steklov Institute of Mathematics;2017-04

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