Cyclotomic Fields and Zeta Values

Name: Cyclotomic Fields and Zeta Values
Brand: Springer, Berlin
SKU: 9783642069598
Price: 72.29 EUR
Availability: InStock

Автор: John Coates, R. Sujatha

Език:

Корици: С меки корици

Издател: Springer, Berlin

Наличност: Външен склад

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72.29 € 141.39 лв

Cyclotomic fields have always occupied a central place in number theory, and the so called "main con...

Информация за книгата

Автор

John Coates, R. Sujatha

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

116

EAN

9783642069598

ISBN

3642069592

Enbook ID

01680541

Издател

Springer, Berlin

Теглоt

207

Размери

155 x 235 x 6

Пълно описание

Cyclotomic fields have always occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest and most beautiful theorem known about them. It is also the simplest example of a vast array of subsequent, unproven "main conjectures' in modern arithmetic geometry involving the arithmetic behaviour of motives over p-adic Lie extensions of number fields. These main conjectures are concerned with what one might loosely call the exact formulae of number theory which conjecturally link the special values of zeta and L-functions to purely arithmetic expressions (the most celebrated example being the conjecture of Birch and Swinnerton-Dyer for elliptic curves). §Written by two leading workers in the field, this short and elegant book presents in full detail the simplest proof of the "main conjecture' for cyclotomic fields . Its motivation stems not only from the inherent beauty of the subject, but also from the wider arithmetic interest of these questions. The masterly exposition is intended to be accessible to both graduate students and non-experts in Iwasawa theory.

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Cyclotomic Fields and Zeta Values

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