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 Literary Criticism 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.
The Riemann Zeta Function
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Author : Anatoly A. Karatsuba
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-03
The Riemann Zeta Function written by Anatoly A. Karatsuba and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-03 with Mathematics categories.
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
The Theory Of The Riemann Zeta Function
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Author : Late Savilian Professor of Geometry E C Titchmarsh
language : en
Publisher: Oxford University Press
Release Date : 1986
The Theory Of The Riemann Zeta Function written by Late Savilian Professor of Geometry E C Titchmarsh and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
The Riemann zeta-function embodies both additive and multiplicative structures in a single function, making it our most important tool in the study of prime numbers. This volume studies all aspects of the theory, starting from first principles and probing the function's own challenging theory, with the famous and still unsolved "Riemann hypothesis" at its heart. The second edition has been revised to include descriptions of work done in the last forty years and is updated with many additional references; it will provide stimulating reading for postgraduates and workers in analytic number theory and classical analysis.
Zeta And L Functions Of Varieties And Motives
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Author : Bruno Kahn
language : en
Publisher: Cambridge University Press
Release Date : 2020-05-07
Zeta And L Functions Of Varieties And Motives written by Bruno Kahn 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 2020-05-07 with Mathematics categories.
Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.
Zeta Functions Of Groups And Rings
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Author : Marcus du Sautoy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
Zeta Functions Of Groups And Rings written by Marcus du Sautoy 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 2008 with Mathematics categories.
Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.
Lectures On Orthogonal Polynomials And Special Functions
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Author : Howard S. Cohl
language : en
Publisher: Cambridge University Press
Release Date : 2020-10-15
Lectures On Orthogonal Polynomials And Special Functions written by Howard S. Cohl 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 2020-10-15 with Mathematics categories.
Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.