Logo - springer
Slogan - springer

Mathematics - Number Theory and Discrete Mathematics | Arithmetic of Quadratic Forms

Arithmetic of Quadratic Forms

Shimura, Goro

2010, XII, 240p.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$129.00

(net) price for USA

ISBN 978-1-4419-1732-4

digitally watermarked, no DRM

Included Format: PDF and EPUB

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$169.00

(net) price for USA

ISBN 978-1-4419-1731-7

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

Softcover
Information

Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$169.00

(net) price for USA

ISBN 978-1-4614-2618-9

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • Examines algebraic number theory and the theory of semisimple algebras
  • Covers classification over an algebraic number field and classification over the ring of algebraic integers
  • Discusses local class field theory
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 second topic is a new framework which contains the investigation of Gauss on the sums of three squares as a special case. To make the book concise, the author proves some basic theorems in number theory only in some special cases. However, the book is self-contained when the base field is the rational number field, and the main theorems are stated 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.

Content Level » Research

Keywords » Algebra - Clifford algebras - Quadratic Diophantine equations - Quadratic forms - Quadratic reciprocity law - Semisimple algebras - Strong approximation - Sums of squares - number theory

Related subjects » Algebra - Number Theory and Discrete Mathematics

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Number Theory.