On Sprindzuk's classification of transcendental numbers.
On Sprindzuk's classification of transcendental numbers.
复制标题
论斯普林祖克的超越数分类。
DOI：
10.1515/crll.1996.470.27
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
M. Amou
中科院分区：
文献类型：
--
作者：
M. Amou
在1962年，Sprindzuk [13]提出了复数的分类，与Mahler [9]的分类相联系，将复数分为四类，他称这四类中的数为<$-、S-、T-和{7-数（cf. [14]，第140页和[15]，第13页）。本文的目的是证明与此分类有关的具有某些性质的数的存在性，特别是证明-数的存在性。我们首先回顾Sprindzuk分类的定义和几个已知的结果关于这个分类，然后我们陈述我们的主要结果。
In 1962 Sprindzuk [13] proposed a classification of the complex numbers, in connection with that of Mahler [9], by dividing them into four classes and he called the numbers in these classes Ä-, S-, T-, and {7-numbers (cf. also [14], p. 140 and [15], p. 1 3). The purpose of this paper is to show the existence of numbers with certain properties related to this classification, and especially to show the existence of -numbers. We first recall the definition of Sprindzuk' s classification and the several known results concerning this classification, then we state our main results.