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 Ktheory of the ring of integers. Shortly afterwards, Bloch and Kato proposed a Tamagawa numbertype 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 Ktheory, motivic cohomology, and Iwasawa theory, this book is the first to give a complete proof, accessible to graduate students, of the BlochKato conjecture for odd positive integers. It includes a new account of the results from motivic cohomology by Huber and Kings.
About Professor John Coates
John Coates was Sadleirian Professor of Pure Mathematics at the University of Cambridge from 1986 until 2012. Most of his research has focused on the mysterious, and still largely conjectural, connections between special values of Lfunctions and purely arithmetic questions, largely via the padic techniques of Iwasawa theory. Professor Coates was elected a fellow of the Royal Society of London in 1985, and served as President of the London Mathematical Society from 1988 to 1990. He was awarded the Senior Whitehead Prize by the London Mathematical Society in 1997. A. Raghuram is the Coordinator for Mathematics at the Indian Institute of Science Education and Research (IISER) at Pune. Previously, he was a tenured faculty member of the Department of Mathematics at Oklahoma State University. He has also held various visiting positions at the University of Iowa, Purdue University, and the Max Planck Institute for Mathematics in Germany. Professor Raghuram's research interests concern the arithmetic properties of automorphic forms. He uses analytic methods in the Langlands Program and geometric tools from the cohomology of arithmetic groups to study the special values of Lfunctions. His research has been supported by the National Science Foundation, USA, and the Alexander von Humboldt Foundation, Germany. Anupam Saikia is an Associate Professor in the Department of Mathematics at the Indian Institute of Technology Guwahati. Previously, he was a William Hodge Fellow at IHES, France, and a CRMISM postdoctoral fellow at McGill University after completing his PhD at DPMMS, University of Cambridge. The main theme of his research is Iwasawa theory of cyclotomic fields, elliptic curves and padic measures. R. Sujatha is a Professor at the University of British Columbia, Vancouver. She conducts research in the broad area of algebraic number theory and has authored articles on the algebraic theory of quadratic forms, Iwasawa theory, and the study of motives. Professor Sujatha coauthored the book Cyclotomic Fields and Zeta Values (Springer 2006) with John Coates and has edited two others. She is a fellow of the Indian National Science Academy, the Indian Academy of Sciences and the National Academy of Sciences, India. Her awards include the ICTP Ramanujan Prize and the Shanti Swarup Bhatnagar Award.Details Book
Author  :  Professor John Coates 
Publisher  :  Cambridge University Press 
Data Published  :  13 March 2015 
ISBN  :  1107492963 
EAN  :  9781107492967 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  320 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
Reviews The BlochKato Conjecture for the Riemann Zeta Function

Margo Anderson Get eBook The BlochKato Conjecture for the Riemann Zeta Function
Finally I get this ebook, thanks for all these I can get now!

Lisa Doran Best website free download ebook
I was suspicious at first when i got redirected to the membership site. Now I'm really excited i found this online library....many thanks Kisses

Markus Jensen How to download The BlochKato Conjecture for the Riemann Zeta Function eBook?
I did not think that this would work, my best friend showed me this website, and it does! I get my most wanted eBook

Roddy Murray
My friends are so mad that they do not know how I have all the high quality ebook which they do not!

Lukasz Czaru
so many fake sites. this is the first one which worked! Many thanks


Andrew Smith
Just select your click then download link, and complete an offer to start downloading the ebook. If there is a survey it only takes 5 minutes, try any survey which works for you.

Kevin Mason
lol it did not even take me 5 minutes at all! XD

