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Advanced analytic number theory
 
Advanced analytic number theory
eBook ISBN:  978-0-8218-7601-5
Product Code:  CONM/15.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Advanced analytic number theory
Click above image for expanded view
Advanced analytic number theory
eBook ISBN:  978-0-8218-7601-5
Product Code:  CONM/15.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 151983; 190 pp
    MSC: Primary 12; Secondary 11; 14

    This book presents in a coherent way all the ramification results from local fields which are necessary for an understanding of new developments in advanced analytic number theory.

  • Table of Contents
     
     
    • Chapters
    • Chapter 0. Introduction
    • Chapter I. Galois Theory for Infinite Extensions
    • Chapter II. Projective Limits
    • Chapter III. Elementary Theory of $l$-adic Integration
    • Chapter IV. Ramification Theory
    • Chapter V. Multiplicative versus Additive Reduction
    • Chapter VI. Ramification of Abelian Extensions
    • Chapter VII. The Weil Groups of a Local Field
    • Chapter VIII. Shafarevitch’s Theorem
    • Chapter IX. The Herbrand Distribution
    • Bibliography
    • Index
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 151983; 190 pp
MSC: Primary 12; Secondary 11; 14

This book presents in a coherent way all the ramification results from local fields which are necessary for an understanding of new developments in advanced analytic number theory.

  • Chapters
  • Chapter 0. Introduction
  • Chapter I. Galois Theory for Infinite Extensions
  • Chapter II. Projective Limits
  • Chapter III. Elementary Theory of $l$-adic Integration
  • Chapter IV. Ramification Theory
  • Chapter V. Multiplicative versus Additive Reduction
  • Chapter VI. Ramification of Abelian Extensions
  • Chapter VII. The Weil Groups of a Local Field
  • Chapter VIII. Shafarevitch’s Theorem
  • Chapter IX. The Herbrand Distribution
  • Bibliography
  • Index
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.