A vanishing theorem for power series
A vanishing theorem for power series
复制标题
幂级数的消失定理
DOI：
10.1007/bf01393819
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发表时间：
1982
影响因子：
3.1
通讯作者：
D. Masser
中科院分区：
文献类型：
--
作者：
D. Masser
近年来，人们对马勒的超越数论方法重新产生了兴趣。这种方法，如在系列文件[12-14]（也见[15]）中所阐述的，涉及满足特殊类型的函数方程的多元局部解析函数的值。更明确地说，对于n> 1，设N“n表示n行n列的矩阵集合，其元素是非负整数。对于N“”中的~ 2，其中元素e）i~（1< i，j< n）和具有分量z I.的向量z。z，将~ 2 z定义为
In recent years there has been a revival of interest in Mahler's method in transcendental number theory. This method, as expounded in the sequence of papers [12-14](see also [15]) is concerned with the values of locally analytic functions of several variables which satisfy a special type of functional equation. To be more explicit, for n> 1 let N"'n denote the set of matrices of n rows and n columns whose entries are non-negative integers. For~ 2 in N"'" with entries e) i~(1< i, j< n) and a vector z with components z I..... z, define~ 2z as