Kniha Arithmetic of Quadratic Forms Shimura

Arithmetic of Quadratic Forms

Autor: Shimura
Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 10-18 dnů
4 138
This book is divided into two parts. The first part is preliminary and consists of algebraic number...

Informace o knize

Autor
Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
2010
Stránek
238
EAN
9781441917317
ISBN
1441917314
Enbook ID
04226749
Hmotnost
518
Rozměry
164 x 243 x 20

Kompletní popis

This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. There are two principal topics: classification of quadratic forms and quadratic diophantine equations. The first topic is further divided into two types of theories: classification over an algebraic number field and classification over the ring of algebraic integers.§To ensure the book would be concise, the author proved basic theorems in local class field theory only in some special cases, and the Hilbert reciprocity law only over the rational number field. However, the author stated the main theorems with an arbitrary number field as the base field, so the reader familiar with class field theory will be able to learn the arithmetic theory of quadratic forms with no further references.

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