Class Field Theory

Daniel Fretwell (Autor)

Buch | Softcover

24 Seiten

2011 | 11002 A. 2. Auflage
GRIN Verlag
978-3-640-96929-6 (ISBN)

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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.

Sprache	englisch
Maße	210 x 297 mm
Gewicht	107 g
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Class • Field • postgraduate • theory
ISBN-10	3-640-96929-4 / 3640969294
ISBN-13	978-3-640-96929-6 / 9783640969296
Zustand	Neuware