| 书目名称 | Number Theory I | | 副标题 | Fundamental Problems | | 编辑 | A. N. Parshin,I. R. Shafarevich | | 视频video | | | 概述 | Covers the most recent results around Fermat‘s Theorem (Andrew Wiles) and the Langlands Conjecture (Lafforgue) | | 丛书名称 | Encyclopaedia of Mathematical Sciences | | 图书封面 |  | | 描述 | Preface Among the various branches of mathematics, number theory is characterized to a lesser degree by its primary subject ("integers") than by a psychologi cal attitude. Actually, number theory also deals with rational, algebraic, and transcendental numbers, with some very specific analytic functions (such as Dirichlet series and modular forms), and with some geometric objects (such as lattices and schemes over Z). The question whether a given article belongs to number theory is answered by its author‘s system of values. If arithmetic is not there, the paper will hardly be considered as number-theoretical, even if it deals exclusively with integers and congruences. On the other hand, any mathematical tool, say, homotopy theory or dynamical systems may become an important source of number-theoretical inspiration. For this reason, com binatorics and the theory of recursive functions are not usually associated with number theory, whereas modular functions are. In this report we interpret number theory broadly. There are compelling reasons to adopt this viewpoint. First of all, the integers constitute (together with geometric images) one of the primary subjects of mathematics in ge | | 出版日期 | Book 19951st edition | | 关键词 | Arakelov geometry; Arithmetic der algebraischen Zahlen; Elementare Zahlentheorie; Elementary number the | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-08005-4 | | isbn_ebook | 978-3-662-08005-4Series ISSN 0938-0396 | | issn_series | 0938-0396 | | copyright | Springer-Verlag Berlin Heidelberg 1995 |
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发表于 2025-3-21 19:31:48
