Arithmetic of Quadratic Forms
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Ausgabe: | 1. |
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Arithmetic of quadratic forms, Goro Shimura, 2010, New York, Springer, 1 vol. (X-237 p.), Springer monographs in mathematics, 978-1-4419-1731-7 • Arithmetic of Quadratic Forms, Texte imprimé, 9781441917386 |
| LEADER | 03306nam a22004817a 4500 | ||
|---|---|---|---|
| 001 | 942172 | ||
| 008 | 110106q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN149019726 | ||
| 020 | |a 9781441917324 | ||
| 020 | |a 9781441917324 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512 | ||
| 084 | |a 11D09. 2010 | ||
| 084 | |a 11E08. 2010 | ||
| 084 | |a 11E12. 2010 | ||
| 084 | |a 11D41. 2010 | ||
| 084 | |a 11Rxx. 2010 | ||
| 084 | |a 11Sxx. 2010 | ||
| 084 | |a 17C20. 2010 | ||
| 100 | 1 | |a Shimura, Gorō, |d 1930-2019. | |
| 245 | 1 | 0 | |a Arithmetic of Quadratic Forms |c by Goro Shimura. |
| 250 | |a 1. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliographie. Index | ||
| 505 | 1 | |a The Quadratic Reciprocity Law Arithmetic in an Algebraic Number Field Various Basic Theorems Algebras Over a Field Quadratic Forms Deeper Arithmetic of Quadratic Forms Quadratic Diophantine Equations | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Formes quadratiques | ||
| 650 | |a Théorie des nombres algébriques | ||
| 650 | |a Analyse diophantienne | ||
| 776 | 0 | |0 146762630 |t Arithmetic of quadratic forms |f Goro Shimura |d 2010 |c New York |n Springer |p 1 vol. (X-237 p.) |s Springer monographs in mathematics |z 978-1-4419-1731-7 | |
| 776 | 0 | |t Arithmetic of Quadratic Forms |b Texte imprimé |z 9781441917386 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-1-4419-1732-4 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-VJMNJDCT-6 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747835764 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-1-4419-1732-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75085328X |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-1-4419-1732-4 |z Accès INSA CVL | |
| 997 | |0 942172 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||