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OverviewThere 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. Full Product DetailsAuthor: John Coates (University of Cambridge) , A Raghuram (Indian Institute of Science Education and Research, Pune) , Anupam Saikia (Indian Institute of Technology, Guwahati)Publisher: Cambridge University Press Imprint: Cambridge University Press Volume: 418 ISBN: 9781316246979ISBN 10: 1316246973 Pages: 318 Publication Date: 01 January 2015 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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