Primes of the Form X2+ny2 pdf epub mobi txt 電子書下載2025

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DAVID A. COX, PhD, is William J. Walker Professor of Mathematics in the Department of Mathematics at Amherst College.

出版者:John Wiley & Sons Inc

作者:David A. Cox

出品人:

頁數:378

译者:

出版時間:2013-4-22

價格:0

裝幀:Paperback

isbn號碼:9781118390184

叢書系列:Pure and Applied Mathematics: A Wiley Series of Texts, Monographs, and Tracts

圖書標籤:

數學
Algebra
代數數論
代數
二次型
Cox
英文
數論

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Written for readers with modest mathematical backgrounds, this book contains numerous exercises and examples at varied levels and provides a well-motivated introduction to the classical formulation of class field theory--placing great importance on the explicit numerical example to illustrate the power of basic theorems in various situations. It includes an elementary treatment of quadratic forms and genus theory; addresses when a prime p is of the form x2+ny2; features new coverage of Shimura reciprocity law; and includes simultaneous treatment on elementary and advanced aspects of number theory.

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Bhargava写过论文<higher composition laws>，就是以 Gauss composition,为基础，构造higher analogues of Gauss composition,以探索在其他代数环（域）上相似结构的可能。Gauss composition 是理解二次域上的ideal class groups的最好方式，而这些similar laws of comp...

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其實隻能讀懂前兩章

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是class field theory最好的入門書，neukirch也有相關方麵的兩本書，一本<<algebraic number theory>>和<<class field theory>>但觀點很高也很抽象。這本每章都為瞭解決一個數論問題而開始，把讀者一步步引到謎底，具體的逐漸融閤進抽象的框架裏。這本書的第三四章講的是complex multiplication,elliptic curve,shimura reciprocity這些主題跟modular forms 有關。感嘆一下everywhere is modular forms.想更深入的話可以分彆看neukirch和shimura的書

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其實隻能讀懂前兩章

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