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Equivalents Of The Riemann Hypothesis Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Equivalents Of The Riemann Hypothesis book. This book definitely worth reading, it is an incredibly well-written.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 349 pages
File Size : 45,8 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 9781107197046
This first volume of two presents classical and modern arithmetic equivalents to the Riemann hypothesis. Accompanying software is online.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 706 pages
File Size : 51,8 Mb
Release : 2023-09-30
Category : Mathematics
ISBN : 9781009384773
This three-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 3 covers new arithmetic and analytic equivalences from numerous studies in the field, such as Rogers and Tao, and presents derivations which show whether the Riemann hypothesis is decidable.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 705 pages
File Size : 45,6 Mb
Release : 2023-09-30
Category : Mathematics
ISBN : 9781009384803
This third volume presents further equivalents to the Riemann hypothesis and explores its decidability.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 349 pages
File Size : 47,8 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 9781108187008
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 0 pages
File Size : 54,6 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 1107197120
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
Author : Peter B. Borwein
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 40,7 Mb
Release : 2008
Category : Mathematics
ISBN : 9780387721255
The Riemann Hypothesis has become the Holy Grail of mathematics in the century and a half since 1859 when Bernhard Riemann, one of the extraordinary mathematical talents of the 19th century, originally posed the problem. While the problem is notoriously difficult, and complicated even to state carefully, it can be loosely formulated as "the number of integers with an even number of prime factors is the same as the number of integers with an odd number of prime factors." The Hypothesis makes a very precise connection between two seemingly unrelated mathematical objects, namely prime numbers and the zeros of analytic functions. If solved, it would give us profound insight into number theory and, in particular, the nature of prime numbers. This book is an introduction to the theory surrounding the Riemann Hypothesis. Part I serves as a compendium of known results and as a primer for the material presented in the 20 original papers contained in Part II. The original papers place the material into historical context and illustrate the motivations for research on and around the Riemann Hypothesis. Several of these papers focus on computation of the zeta function, while others give proofs of the Prime Number Theorem, since the Prime Number Theorem is so closely connected to the Riemann Hypothesis. The text is suitable for a graduate course or seminar or simply as a reference for anyone interested in this extraordinary conjecture.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 513 pages
File Size : 44,9 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 9781107197121
This second volume of two presents analytic equivalents to the Riemann hypothesis. Includes an extensive set of appendices.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 0 pages
File Size : 48,7 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 110719704X
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
Author : S. J. Patterson
Publisher : Cambridge University Press
Page : 176 pages
File Size : 40,8 Mb
Release : 1995-02-02
Category : Mathematics
ISBN : 0521499054
An introduction to the analytic techniques used in the investigation of zeta functions through the example of the Riemann zeta function. It emphasizes central ideas of broad application, avoiding technical results and the customary function-theoretic appro
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 513 pages
File Size : 48,6 Mb
Release : 2017-11-02
Category : Mathematics
ISBN : 9781108187022
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
Author : Barry Mazur,William Stein
Publisher : Cambridge University Press
Page : 155 pages
File Size : 53,9 Mb
Release : 2016-04-11
Category : Mathematics
ISBN : 9781107101920
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Author : Jeffrey Stopple
Publisher : Cambridge University Press
Page : 404 pages
File Size : 54,5 Mb
Release : 2003-06-23
Category : Mathematics
ISBN : 0521012538
An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.
Author : Roland van der Veen,Jan van de Craats
Publisher : The Mathematical Association of America
Page : 157 pages
File Size : 42,7 Mb
Release : 2016-01-06
Category : Mathematics
ISBN : 9780883856505
This book introduces interested readers to one of the most famous and difficult open problems in mathematics: the Riemann Hypothesis. Finding a proof will not only make you famous, but also earns you a one million dollar prize. The book originated from an online internet course at the University of Amsterdam for mathematically talented secondary school students. Its aim was to bring them into contact with challenging university level mathematics and show them why the Riemann Hypothesis is such an important problem in mathematics. After taking this course, many participants decided to study in mathematics at university.
Author : Sergio Albeverio,Anindita Balslev,Ricardo Weder
Publisher : Springer Nature
Page : 316 pages
File Size : 53,6 Mb
Release : 2021-06-03
Category : Mathematics
ISBN : 9783030684907
This book gives its readers a unique opportunity to get acquainted with new aspects of the fruitful interactions between Analysis, Geometry, Quantum Mechanics and Number Theory. The present book contains a number of contributions by specialists in these areas as an homage to the memory of the mathematician Erik Balslev and, at the same time, advancing a fascinating interdisciplinary area still full of potential. Erik Balslev has made original and important contributions to several areas of Mathematics and its applications. He belongs to the founders of complex scaling, one of the most important methods in the mathematical and physical study of eigenvalues and resonances of Schrödinger operators, which has been very essential in advancing the solution of fundamental problems in Quantum Mechanics and related areas. He was also a pioneer in making available and developing spectral methods in the study of important problems in Analytic Number Theory.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 591 pages
File Size : 55,5 Mb
Release : 2021-02-25
Category : Mathematics
ISBN : 9781108836746
A mathematical record of bounded prime gaps breakthroughs, from Erdős to Polymath8, with linked computer programs and complete appendices.
