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Forms of Fermat Equations and Their Zeta Functions
Contributor(s): Brunjes, Lars (Author)

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ISBN: 9812560394     ISBN-13: 9789812560391
Publisher: World Scientific Publishing Company
OUR PRICE: $113.05  

Binding Type: Hardcover - See All Available Formats & Editions
Published: October 2004
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Temporarily out of stock - Will ship within 2 to 5 weeks
Additional Information
BISAC Categories:
- Mathematics | Number Theory
- Science | Physics - Mathematical & Computational
- Mathematics | Algebra - General
Dewey: 512.7
Physical Information: 0.9" H x 6.1" W x 9" L (1.20 lbs) 248 pages
Features: Bibliography, Illustrated, Index, Table of Contents
 
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Publisher Description:
In this volume, an abstract theory of 'forms' is developed, thus providing a conceptually satisfying framework for the classification of forms of Fermat equations. The classical results on diagonal forms are extended to the broader class of all forms of Fermat varieties.The main topic is the study of forms of the Fermat equation over an arbitrary field K. Using Galois descent, all such forms are classified; particularly, a complete and explicit classification of all cubic binary equations is given. If K is a finite field containing the d-th roots of unity, the Galois representation on l-adic cohomology (and so in particular the zeta function) of the hypersurface associated with an arbitrary form of the Fermat equation of degree d is computed.
 
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