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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Bloch-Kato Conjecture for the Riemann Zeta Function

The Bloch-Kato Conjecture for the Riemann Zeta Function

Raghuram, A.
Saikia, Anupam
Coates, John

Paperback

Series: London Mathematical Society Lecture Note, Book 418

General Mathematics

ISBN10: 1107492963
ISBN13: 9781107492967
Publisher: Cambridge University Press
Published: Mar 13 2015
Pages: 320
Weight: 1.00
Height: 0.80 Width: 5.90 Depth: 8.90
Language: English
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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