A method of Mahler in transcendence theory and some of its applications
A method of Mahler in transcendence theory and some of its applications
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马勒超越理论的一种方法及其应用
DOI：
10.1017/s0004972700021341
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发表时间：
1984
影响因子：
0.7
通讯作者：
J. Loxton
中科院分区：
文献类型：
--
作者：
J. Loxton
库尔特·马勒在超越数论中引入了许多深刻的思想和方法。他在这一领域的工作包括详细研究e、v和log2等数的代数逼近，根据实数和复数的逼近性质对实数和复数进行新的分类，以及p-进超越理论的创立和发展。我将在这里讨论的特殊方法可以追溯到马勒在1920年‘S在哥廷根所写的最早的论文。这些论文多年来莫名其妙地被忽视了，但由于与自动机理论的联系，它们最近受到了相当大的关注。
Kurt Mahler has introduced many profound ideas and methods into the theory of transcendental numbers. His work in this area includes detailed study of the algebraic approximations of numbers such as e, v and log 2, a new classification of real and complex numbers according to their approximation properties, and the initiation and development of p-adic transcendence theory. The particular method which I shall discuss here can be traced back to Mahler's earliest papers written in GOttingen in the 1920's. These papers were unaccountably overlooked for many years, but they have received considerable attention in recent times because of links with the theory of automata.