Algebraic Independence of Certain Numbers

Algebraic Independence of Certain Numbers

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摘要 In this note the algebraic independence of values of general Mahler series with different parameters at algebraic points is established. In this note the algebraic independence of values of general Mahler series with different parameters at algebraic points is established.

作者 Yonggao Chen Department of Mathematics,Nanjing Normal University,Nanjing 210097,P.R.ChinaYaochen Zhu Institute of Applied Mathematics,Academia Sinica,Beijing 100080,P.R.China

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 1999年第4期507-514,共8页 数学学报（英文版）

基金 Supported by the Fok Ying Tung Education Foundation the National Natural Science Foundation of China

关键词 Algebraic independence General Mahler series Continued fraction Algebraic independence General Mahler series Continued fraction

分类号 O1 [理学—基础数学]

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1Zhu Yaochen (Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China).An Arithmetic Property of Mahler's Series[J].Acta Mathematica Sinica,English Series,1997,13(3):407-412.
2WANG Tian-qin,LIU Hua-ke.Algebraic Independence Measures for the Values of Mahler Type Functions[J].Chinese Quarterly Journal of Mathematics,2006,21(4):567-576.
3Yaochen Zhu Institute of Applied Mathematics,Academy of Mathematics and Systems Sciences,Academia Sinica,Beijing 100080,P.R.China Fax:010-62541689.Algebraic Independence by Approximation Method(Ⅱ)[J].Acta Mathematica Sinica,English Series,2000,16(3):395-398. 被引量：1
4乐茂华.关于广义Thue－Mahler方程的解数[J].数学学报（中文版）,1996,39(2):156-159.
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6徐思林.STUDY ON THE UNIQUENESS OF LIMIT CYCLE OF THE QUADRATIC SYSTEM BY USING THE QUADRATIC CURVE WITHOUT CONTACT(CONTINUED 1)[J].Annals of Differential Equations,1998,14(2):252-258.
7顾传青.Two Dual Expansions for Generalized Bivariate Thiele-Type Matrix Valued Interpolating Continued Fractions[J].Advances in Manufacturing,1997(2):87-90.
8林小雁.Periodicity of Minimal Continued Fraction[J].Tsinghua Science and Technology,1998,3(4):1240-1242.
9Jie-qing Tan (Institute of Applied Mathematics, College of Science and CAD/CG Division College of Computer & Information Hefei, University of Technology, Hefei 230009, China).THE LIMITING CASE OF THIELE'S INTERPOLATING CONTINUED FRACTION EXPANSION[J].Journal of Computational Mathematics,2001,19(4):433-444. 被引量：12
10Zhu Yaochen Institute of Applied Mathematics, Academia Sinica, Beijing 100080, China.Algebraic Independence by Approximation Method[J].Acta Mathematica Sinica,English Series,1998,14(3):295-302. 被引量：4

Acta Mathematica Sinica,English Series

1999年第4期

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Algebraic Independence of Certain Numbers

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