Estimates for the Orders of Zeros of Functions of a Certain Class and Applications in the Theory of Transcendental Numbers

Estimates for the Orders of Zeros of Functions of a Certain Class and Applications in the Theory of Transcendental Numbers
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DOI:
10.1070/im1977v011n02abeh001710
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发表时间:
1977-04
期刊:
Mathematics of The Ussr-izvestiya
影响因子:
--
通讯作者:
Ju V Nesterenko
Ju V Nesterenko
中科院分区:
其他
文献类型:
--
作者:
Ju V Nesterenko

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通过使用的估计多项式的零点在某些固定的功能的多重性,估计证明了代数独立的功能,这是有效的程度和高度的值的措施。参考书目:10个标题。
By the use of estimates for the multiplicities of the zeros of polynomials in certain fixed functions, an estimate is proved for the measure of algebraic independence of the values of the functions which is effective in the degree and height.Bibliography: 10 titles.