Estimates for polynomials in logarithms of some rational numbers

被引：0
|
作者：
Sorokin V.N. [1 ]
机构：
[1] Moscow State University,
来源：
Journal of Mathematical Sciences | 2007年 / 146卷 / 2期
基金：
俄罗斯基础研究基金会;
关键词：
Linear Form; Rational Number; Algebraic Number; Laurent Series; Monodromy Group;
D O I：
10.1007/s10958-007-0390-0
中图分类号：
学科分类号：
摘要：
The Hermite-Pade approximations of the second type for algebra generated by a generalized Nikishin system of Markov functions corresponding to an infinite branching graph are investigated. Arithmetical applications of this construction are given. Namely, lower estimates for polynomials with integer coefficients in logarithms of some rational numbers are obtained. These estimates partially refine some known results obtained earlier by the Siegel method. © 2007 Springer Science+Business Media, Inc.
引用
收藏
页码：5759 / 5770
页数：11
相关论文
共 50 条
  • [31] SOME INTEGRAL MEAN ESTIMATES FOR POLYNOMIALS
    A. Aziz
    W. M. Shah
    AnalysisinTheoryandApplications, 2007, (02) : 101 - 111
  • [32] Minimal polynomials of some beta-numbers and Chebyshev polynomials
    Kwon, Doyong
    ACTA ARITHMETICA, 2007, 130 (04) : 321 - 332
  • [33] Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials
    Min-Soo Kim
    Taekyun Kim
    Byungje Lee
    Cheon-Seoung Ryoo
    Advances in Difference Equations, 2010
  • [34] Some array type polynomials associated with special numbers and polynomials
    Bayad, Abdelmejid
    Simsek, Yilmaz
    Srivastava, H. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 244 : 149 - 157
  • [35] Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials
    Kim, Min-Soo
    Kim, Taekyun
    Lee, Byungje
    Ryoo, Cheon-Seoung
    ADVANCES IN DIFFERENCE EQUATIONS, 2010,
  • [36] SOME REMARKS ON IRRATIONAL AND RATIONAL NUMBERS
    EBERHART, C
    AMERICAN MATHEMATICAL MONTHLY, 1977, 84 (01): : 32 - 35
  • [37] Some Estimates for the Derivatives of Rational Functions
    Qazi, Mohammed A.
    Rahman, Qazi I.
    COMPUTATIONAL METHODS AND FUNCTION THEORY, 2010, 10 (01) : 61 - 79
  • [38] Some Estimates for the Derivatives of Rational Functions
    Mohammed A. Qazi
    Qazi I. Rahman
    Computational Methods and Function Theory, 2010, 10 : 61 - 79
  • [39] On some rational functions that are analogs of the chebyshev polynomials
    Kalmykov S.I.
    Journal of Mathematical Sciences, 2015, 207 (6) : 874 - 884
  • [40] ON LOGARITHMS OF NATURAL-NUMBERS
    NIKISIN, EM
    MATHEMATICS OF THE USSR-IZVESTIYA, 1980, 15 (03): : 523 - 530
12345