Arithmetic of Quadratic Forms

Autori

• Goro Shimura

Parametri

Pagine

238pagine

Tempo di lettura

9ore

• Libri di testo
• Libri di testo per le scuole superiori
• Matematica

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The book is structured into two main parts, with the second part focusing on the classification of quadratic forms and quadratic Diophantine equations. It explores two classification theories: one over algebraic number fields and another over the ring of algebraic integers. The author critiques traditional methods, particularly those of Helmut Hasse, and highlights a more direct approach inspired by Martin Eichler's work using Clifford algebras. Additionally, it includes a proof of the Hasse norm theorem for quadratic extensions, ensuring a self-contained exposition.

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Lingua: Inglese

Pubblicato: 2010

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