The Bloch Kato Conjecture For The Riemann Zeta Function
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The Bloch Kato Conjecture For The Riemann Zeta Function
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Author : John Coates
language : en
Publisher:
Release Date : 2015
The Bloch Kato Conjecture For The Riemann Zeta Function written by John Coates and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Functions, Zeta categories.
The Bloch Kato Conjecture For The Riemann Zeta Function
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Author : John Coates
language : en
Publisher:
Release Date : 2015
The Bloch Kato Conjecture For The Riemann Zeta Function written by John Coates and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Functions, Zeta categories.
A graduate-level account of an important recent result concerning the Riemann zeta function.
The Bloch Kato Conjecture For The Riemann Zeta Function
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Author : John Coates
language : en
Publisher: Cambridge University Press
Release Date : 2015-03-19
The Bloch Kato Conjecture For The Riemann Zeta Function written by John Coates and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-19 with Mathematics categories.
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.
The Bloch Kato Conjecture For The Riemann Zeta Function
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Author : John Coates
language : en
Publisher: Cambridge University Press
Release Date : 2015-03-13
The Bloch Kato Conjecture For The Riemann Zeta Function written by John Coates and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-13 with Mathematics categories.
A graduate-level account of an important recent result concerning the Riemann zeta function.
Exploring The Riemann Zeta Function
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Author : Hugh Montgomery
language : en
Publisher: Springer
Release Date : 2017-09-11
Exploring The Riemann Zeta Function written by Hugh Montgomery and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-11 with Mathematics categories.
Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects. The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Mathematical Physics, Engineering and Cryptography.
Regulators In Analysis Geometry And Number Theory
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Author : Alexander Reznikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Regulators In Analysis Geometry And Number Theory written by Alexander Reznikov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is an outgrowth of the Workshop on "Regulators in Analysis, Geom etry and Number Theory" held at the Edmund Landau Center for Research in Mathematical Analysis of The Hebrew University of Jerusalem in 1996. During the preparation and the holding of the workshop we were greatly helped by the director of the Landau Center: Lior Tsafriri during the time of the planning of the conference, and Hershel Farkas during the meeting itself. Organizing and running this workshop was a true pleasure, thanks to the expert technical help provided by the Landau Center in general, and by its secretary Simcha Kojman in particular. We would like to express our hearty thanks to all of them. However, the articles assembled in the present volume do not represent the proceedings of this workshop; neither could all contributors to the book make it to the meeting, nor do the contributions herein necessarily reflect talks given in Jerusalem. In the introduction, we outline our view of the theory to which this volume intends to contribute. The crucial objective of the present volume is to bring together concepts, methods, and results from analysis, differential as well as algebraic geometry, and number theory in order to work towards a deeper and more comprehensive understanding of regulators and secondary invariants. Our thanks go to all the participants of the workshop and authors of this volume. May the readers of this book enjoy and profit from the combination of mathematical ideas here documented.
Function Field Arithmetic
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Author : Dinesh S. Thakur
language : en
Publisher: World Scientific
Release Date : 2004
Function Field Arithmetic written by Dinesh S. Thakur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems. While it covers many topics treated in 'Basic Structures of Function Field Arithmetic' by David Goss, it complements that book with the inclusion of recent developments as well as the treatment of new topics such as diophantine approximation, hypergeometric functions, modular forms, transcendence, automata and solitons. There is also new work on multizeta values and log-algebraicity. The author has included numerous worked-out examples. Many open problems, which can serve as good thesis problems, are discussed.
Sheaves And Functions Modulo P
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Author : Lenny Taelman
language : en
Publisher: Cambridge University Press
Release Date : 2016
Sheaves And Functions Modulo P written by Lenny Taelman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
Describes how to use coherent sheaves and cohomology to prove combinatorial and number theoretical identities over finite fields.
Harmonic And Subharmonic Function Theory On The Hyperbolic Ball
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Author : Manfred Stoll
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-30
Harmonic And Subharmonic Function Theory On The Hyperbolic Ball written by Manfred Stoll and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Mathematics categories.
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
Recent Progress In The Theory Of The Euler And Navier Stokes Equations
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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2016-01-21
Recent Progress In The Theory Of The Euler And Navier Stokes Equations written by James C. Robinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-21 with Mathematics categories.
An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.