Class Field Theory

Daniel Fretwell

ISBN 10: 3640969294 / ISBN 13: 9783640969296

Verlag: GRIN Verlag, 2011

Beschreibung

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.

Bestandsnummer des Verkäufers 9783640969296

Bibliografische Details

• Titel: Class Field Theory
• Verlag: GRIN Verlag
• Erscheinungsjahr: 2011
• Sprache: Englisch
• ISBN-10: 3640969294
• ISBN-13: 9783640969296
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 297B x 210 H x 3 T Millimeter Breite: 297 mm, Höhe: 210 mm, Tiefe: 3 mm
• Gewicht: 102 Gramm

Über diesen Titel

Inhaltsangabe

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.