Class Field Theory

Daniel Fretwell

ISBN 10: 3640969294 / ISBN 13: 9783640969296

Published by GRIN Verlag, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Research Paper (postgraduate) from the year 2011 in the subject Mathematics - Number Theory, grade: Postgraduate, University of Sheffield, language: English, abstract: This is the first in a two part series of papers establishing (with proof) the main theorems of global class field theory. We first recap some of the main ideas of algebraic number theory, using these to develop the Artin reciprocity law and the Takagi existence theorem both in terms of ideals and ideles. Finally, we use the Hilbert class field in order to study the well known problem of which prime numbers can be represented in the form x^2 + ny^2 for integers x,y and positive integer n.

Seller Inventory # 9783640969296

Bibliographic Details

• Title: Class Field Theory
• Publisher: GRIN Verlag
• Publication Date: 2011
• Language: English
• ISBN 10: 3640969294
• ISBN 13: 9783640969296
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 297W x 210H x 3D millimeters 297 millimeters width by 210 millimeters height by 3 millimeters depth
• Weight: 102 grams

About this title

Synopsis

Research Paper (postgraduate) from the year 2011 in the subject Mathematics - Number Theory, grade: Postgraduate, University of Sheffield, language: English, abstract: This is the first in a two part series of papers establishing (with proof) the main theorems of global class field theory. We first recap some of the main ideas of algebraic number theory, using these to develop the Artin reciprocity law and the Takagi existence theorem both in terms of ideals and ideles. Finally, we use the Hilbert class field in order to study the well known problem of which prime numbers can be represented in the form x^2 + ny^2 for integers x,y and positive integer n.