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割圆域导论-第2版 版权信息
- ISBN：9787510077852
- 条形码：9787510077852 ; 978-7-5100-7785-2
- 装帧：一般胶版纸
- 册数：暂无
- 重量：暂无
- 所属分类：>>
割圆域导论-第2版 本书特色
since the publication of the first edition， several remarkable developments have taken place. the work of thaine， kolyvagin， and rubin has produced fairly elementary proofs of ribet's converse of herbrand's theorem and of the main conjecture. the original proofs of both of these results used delicate techniques from algebraic geometry and were inaccessible to many readers. also， sinnott discovered a beautiful proof of the vanishing of iwasawa's u-invariant that is much simpler than the one given in chapter 7. finally， fermat's last theorem was proved by wiles， using work of frey， ribet， serre， mazur， langlands-tunnell， taylor-wiles， and others. although the proof， which is based on modular forms and elliptic curves， is much different from the cyclotomic approaches described in this book， several of the ingredients were inspired by ideas from cyclotomic fields and iwasawa theory.
割圆域导论-第2版 内容简介
华盛顿所著的《割圆域导论（第2版）（英文版）》是一部讲述数论很重要领域的教程，包括p进数L—函数、类数、割圆单元、费马*后定理和Z—p扩展Iwasawa定理。这是第二版，新增加了许多内容，如Thaine，Kolyvagin，andRubin的著作、主猜想的证明，以及一章*新其他进展。目次：费曼大定理；基本结果；狄里克莱性质；狄里克莱L级数和类数公式；p进数和伯努利数；Stickelberger定理；p进数L—函数的Iwasawa结构；割圆单元；费曼大定理第二案例；伽罗瓦群作用于理想类群上；类数1的割圆域；测度与分布。
割圆域导论-第2版 目录
preface to the second edition
preface to the first edition
chapter 1
fermat's last theorem
chapter 2
basic results
chapter 3
dirichlet characters
chapter 4
dirichlet l-series and class number formulas
chapter 5
p-adic l-functions and bernoulli numbers
5.1. p-adic functions
5.2. p-adic l-functions
5.3. congruences
5.4. the value at s = 1
5,5. the p-adic regulator
5.6. applications of the class numb, r formula
……
preface to the first edition
chapter 1
fermat's last theorem
chapter 2
basic results
chapter 3
dirichlet characters
chapter 4
dirichlet l-series and class number formulas
chapter 5
p-adic l-functions and bernoulli numbers
5.1. p-adic functions
5.2. p-adic l-functions
5.3. congruences
5.4. the value at s = 1
5,5. the p-adic regulator
5.6. applications of the class numb, r formula
……
展开全部
割圆域导论-第2版 作者简介
Lawrence C. Washington(L.C.华盛顿,美国)是国际知名学者，在数学和物理学界享有盛誉。本书凝聚了作者多年科研和教学成果，适用于科研工作者、高校教师和研究生。
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