logo
Supporting your high street Find out how »
Basket Image

Basket

The Bloch-Kato Conjecture for the Riemann Zeta Function, Paperback / softback Book

The Bloch-Kato Conjecture for the Riemann Zeta Function Paperback / softback

Edited by Professor John Coates, A. Raghuram, Anupam Saikia, R. Sujatha

Part of the London Mathematical Society Lecture Note Series series

Description

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.

Information

  • Format: Paperback / softback
  • Pages: 320 pages
  • Publisher: Cambridge University Press
  • Publication Date:
  • Category: Algebra
  • ISBN: 9781107492967

£52.99

£46.45

 
Free Home Delivery

on all orders

 
Pick up orders

from local bookshops

Also in the London Mathematical Society Lecture Note Series series   |  View all