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Forms of Fermat Equations and Their Zeta Functions 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Brunjes, Lars 作者

World Scientific Pub Co Inc

译者

出版日期

248 页数

$ 67.80 价格

HRD

丛书系列

9789812560391 图书编码

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发表于2024-11-11

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Forms of Fermat Equations and Their Zeta Functions 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Forms of Fermat Equations and Their Zeta Functions 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Forms of Fermat Equations and Their Zeta Functions 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Forms of Fermat Equations and Their Zeta Functions 在线电子书图书描述

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.

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