The Bloch–Kato Conjecture for the Riemann Zeta Function eBook
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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.

About the book
Author
John  COATES , A.  Raghuram , Anupam  Saikia , R.  Sujatha
Imprint
Cambridge University Press
Collection
n.c
Publication date
2015-03-19
Pages
n.c
Print ISBN
9781107492967
Language
English
Ebook informations
EAN PDF
9781316237526
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£60.13
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File size 2137220 Ko
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EAN EPUB
9781316235638
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£60.13
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Copy count 0
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File size 7926 Ko
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