Bloch-Kato Conjecture for the Riemann Zeta Function (Paperback)
 
作者: John Coates 
分類: Algebra ,
Number theory  
書城編號: 1096534


售價: $420.00

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出版社: Cambridge University Press
出版日期: 2015/03/13
尺寸: 228x152x25mm
重量: 485 grams
ISBN: 9781107492967

商品簡介
There are still many arithmetic mysteries surrounding the values of the Riemann zeta function at the odd positive integers greater than one. For example, the matter of their irrationality, let alone transcendence, remains largely unknown. However, by extending ideas of Garland, Borel proved that these values are related to the higher K-theory of the ring of integers. Shortly afterwards, Bloch and Kato proposed a Tamagawa number-type conjecture for these values, and showed that it would follow from a result in motivic cohomology which was unknown at the time. This vital result from motivic cohomology was subsequently proven by Huber, Kings, and Wildeshaus. Bringing together key results from K-theory, motivic cohomology, and Iwasawa theory, this book is the first to give a complete proof, accessible to graduate students, of the Bloch-Kato conjecture for odd positive integers. It includes a new account of the results from motivic cohomology by Huber and Kings.
John Coates 作者作品表

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The Problem of Twelve: When a Few Financial Institutions Control Everything (Paperback)

A Collection of Original Miscellaneous Poems and Translations. By the Reverend Mr. Coates, (Hardcover)

Bloch-Kato Conjecture for the Riemann Zeta Function (Paperback)

The Hour Between Dog and Wolf (B-Trade Pbk)

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Patience (Paperback)

eBook: Hour Between Dog and Wolf (DRM EPUB)

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Non-abelian Fundamental Groups and Iwasawa Theory (Paperback)

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