The Bloch-Kato Conjecture for the Riemann Zeta Function

Language: English

Published by Cambridge University Press, 2015

1107492963 / 9781107492967

Series: Book 348 of 387 - London Mathematical Society Lecture Notes

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.…

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Title
The Bloch-Kato Conjecture for the Riemann Zeta Function
Author
A. Raghuram
Publisher
Cambridge University Press
Publication year
2015
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
1107492963
ISBN 13
9781107492967
Item weight
515 grams
Dimensions
229x152x19 mm
Series
Book 348 of 387: London Mathematical Society Lecture Notes

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