Forms of Fermat Equations and Their Zeta Functions 2024 pdf epub mobi 电子书

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发表于2024-11-20

Forms of Fermat Equations and Their Zeta Functions 2024 pdf epub mobi 电子书

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出版者:World Scientific Pub Co Inc

作者:Brunjes, Lars

出品人:

页数:248

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出版时间:

价格:$ 67.80

装帧:HRD

isbn号码:9789812560391

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Forms of Fermat Equations and Their Zeta Functions 2024 pdf epub mobi 电子书图书描述

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 I-adic cohomology (and so in particular the zeta function) of the hypersurface associated with an arbitrary form of the Fermat equation is computed.

Forms of Fermat Equations and Their Zeta Functions 2024 pdf epub mobi 电子书

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