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Author : John Coates
Publisher : Unknown
Page : 317 pages
File Size : 53,7 Mb
Release : 2015
Category : Functions, Zeta
ISBN : 1316254550
Author : John Coates,A. Raghuram,Anupam Saikia,R. Sujatha
Publisher : Unknown
Page : 305 pages
File Size : 53,9 Mb
Release : 2015
Category : Functions, Zeta
ISBN : 1316250768
A graduate-level account of an important recent result concerning the Riemann zeta function.
Author : John Coates,A. Raghuram,Anupam Saikia,R. Sujatha
Publisher : Cambridge University Press
Page : 128 pages
File Size : 48,8 Mb
Release : 2015-03-19
Category : Mathematics
ISBN : 9781316241301
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.
Author : John Coates,A. Raghuram,Anupam Saikia,R. Sujatha
Publisher : Cambridge University Press
Page : 317 pages
File Size : 53,9 Mb
Release : 2015-03-13
Category : Mathematics
ISBN : 9781107492967
A graduate-level account of an important recent result concerning the Riemann zeta function.
Author : Hugh Montgomery,Ashkan Nikeghbali,Michael Th. Rassias
Publisher : Springer
Page : 298 pages
File Size : 42,9 Mb
Release : 2017-09-11
Category : Mathematics
ISBN : 9783319599694
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.
Author : Bruno Kahn
Publisher : Cambridge University Press
Page : 217 pages
File Size : 42,9 Mb
Release : 2020-05-07
Category : Mathematics
ISBN : 9781108703390
Discover how zeta and L-functions have shaped the development of major parts of mathematics over the past two centuries.
Author : Anatoly A. Karatsuba,S. M. Voronin
Publisher : Walter de Gruyter
Page : 409 pages
File Size : 49,9 Mb
Release : 2011-05-03
Category : Mathematics
ISBN : 9783110886146
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
Author : Howard S. Cohl,Mourad E. H. Ismail
Publisher : Cambridge University Press
Page : 351 pages
File Size : 42,9 Mb
Release : 2020-10-15
Category : Mathematics
ISBN : 9781108821599
Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.
Author : Ashish K. Srivastava,Askar Tuganbaev,Pedro A. Guil Asensio
Publisher : Cambridge University Press
Page : 235 pages
File Size : 53,6 Mb
Release : 2021-03-18
Category : Mathematics
ISBN : 9781108949538
Provides a unified treatment of the study of modules invariant under automorphisms of their envelopes and covers.
Author : Owen Dearricott,Wilderich Tuschmann,Yuri Nikolayevsky,Diarmuid Crowley,Thomas Leistner
Publisher : Cambridge University Press
Page : 401 pages
File Size : 51,9 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 9781108812818
From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.
Author : Scott Balchin,David Barnes,Magdalena Kędziorek,Markus Szymik
Publisher : Cambridge University Press
Page : 357 pages
File Size : 41,9 Mb
Release : 2021-11-18
Category : Mathematics
ISBN : 9781108931946
A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.
Author : Konrad K. Dabrowski,Maximilien Gadouleau,Nicholas Georgiou,Matthew Johnson,George B. Mertzios,Daniël Paulusma
Publisher : Cambridge University Press
Page : 379 pages
File Size : 53,5 Mb
Release : 2021-06-24
Category : Mathematics
ISBN : 9781009018883
These nine articles provide up-to-date surveys of topics of contemporary interest in combinatorics.
Author : Jan-Hendrik Evertse,Kálmán Győry
Publisher : Cambridge University Press
Page : 241 pages
File Size : 49,8 Mb
Release : 2022-04-28
Category : Mathematics
ISBN : 9781009005852
Provides exceptional coverage of effective solutions for Diophantine equations over finitely generated domains.
Author : Fosco Loregian
Publisher : Cambridge University Press
Page : 331 pages
File Size : 53,8 Mb
Release : 2021-07-22
Category : Mathematics
ISBN : 9781108746120
This easy-to-cite handbook gives the first systematic treatment of the (co)end calculus in category theory and its applications.
Author : Julia Mueller,Freydoon Shahidi
Publisher : Cambridge University Press
Page : 451 pages
File Size : 54,7 Mb
Release : 2021-08-05
Category : Mathematics
ISBN : 9781108710947
A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.
