The Resource Arithmetic of quadratic forms, Goro Shimura

Arithmetic of quadratic forms, Goro Shimura

Label
Arithmetic of quadratic forms
Title
Arithmetic of quadratic forms
Statement of responsibility
Goro Shimura
Creator
Subject
Language
eng
Summary
Summary: 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
Member of
Cataloging source
UKM
Dewey number
512.74
Index
index present
LC call number
QA243
LC item number
.S55 2010
Literary form
non fiction
Nature of contents
bibliography
Series statement
Springer monographs in mathematics,
Label
Arithmetic of quadratic forms, Goro Shimura
Publication
Bibliography note
Includes bibliographical references and index
http://library.link/vocab/branchCode
  • net
Contents
Contents: The quadratic reciprocity law -- Arithmetic in an algebraic number field -- Various basic theorems -- Algebras over a field -- Quadratic forms over a field -- Deeper arithmetic of quadratic forms -- Quadratic Diophantine equations
Control code
000045979777
Dimensions
24 cm
Extent
xi, 237 p.
Isbn
9781441917317
Lccn
2010927446
Publisher number
12703982
http://library.link/vocab/recordID
.b27156485
System control number
  • (OCoLC)465370319
  • springer1441917314

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
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