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.
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页码：5759 / 5770
页数：11
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