| 书目名称 | Quadratic Residues and Non-Residues |
| 副标题 | Selected Topics |
| 编辑 | Steve Wright |
| 视频video | |
| 概述 | Illustrates how the study of quadratic residues led directly to the development of fundamental methods in elementary, algebraic, and analytic number theory.Presents in detail seven proofs of the Law o |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory..The first three chapters present some basic facts and the history of quadratic residues and non-residues and discuss various proofs of the Law of Quadratic Reciprosity in depth, with an emphasis on the six proofs that Gauss published. The remaining seven chapters explore some interesting applications of the Law of Quadratic Reciprocity, prove some results concerning the distribution and arithmetic structure of quadratic residues and non-residues, provide a detailed proof of Dirichlet’s Class-Number Formula, and discuss the question of whether quadratic residues are randomly distributed. The text is a valuable resource for graduate and advanced undergraduate students as well as for mathematicians interested in number theory.. |
| 出版日期 | Book 2016 |
| 关键词 | 11-XX; 12D05, 13B05, 52C05, 42A16, 42A20; quadratic residues; quadratic non-residues; law of quadratic |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-45955-4 |
| isbn_softcover | 978-3-319-45954-7 |
| isbn_ebook | 978-3-319-45955-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 17:41:16
