Contributions to the theory of transcendental numbers
Contributions to the theory of transcendental numbers
复制标题
对超越数理论的贡献
DOI：
10.1090/surv/019
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发表时间：
1968
期刊：
影响因子：
0.7
通讯作者：
Gregory Chudnovsky
中科院分区：
文献类型：
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作者：
Gregory Chudnovsky
这卷包括一个收集的论文主要致力于超越数论和丢番图近似写的作者。本书中的大部分材料都是作者俄文手稿的英译本，经过广泛改写并完全更新。这些论文和本卷中的其他论文都是以手稿的形式提供给专家的，但这是它们第一次被收集和出版。虽然早期的论文以最初准备的形式保存下来，但本卷的组织方式反映了最近的进展，并使读者能够跟踪该领域的最新发展。作为一个介绍性的指南卷，作者包括一个扩大和更新的文本，他的邀请地址对他的工作理论的超越数1978年国际数学家大会在赫尔辛基。附录中包含了一篇关于某些多维流形的极值的论文，由A。I. Vinogradov和作者在1976年。Chudnovsky收到了麦克阿瑟基金会奖学金于1981年。
This volume consists of a collection of papers devoted primarily to transcendental number theory and diophantine approximations written by the author. Most of the materials included in this volume are English translations of the author's Russian manuscripts, extensively rewritten and brought entirely up to date. These papers and other papers included in this volume were available to specialists in manuscript form, but this is the first time that they have been collected and published.Though the earlier papers have been preserved in the form in which they were prepared initially, the volume is organized in such a way as to reflect recent progress and to allow readers to follow recent developments in the field. As an introductory guide to the volume, the author included an expanded and updated text of his invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki. The appendix contains a paper on the extremality of certain multidimensional manifolds prepared by A. I. Vinogradov and the author in 1976. Chudnovsky received a MacArthur Foundation Fellowship in 1981.