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Equivalents Of The Riemann Hypothesis Volume 2 Analytic Equivalents 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 Volume 2 Analytic Equivalents book. This book definitely worth reading, it is an incredibly well-written.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 513 pages
File Size : 48,9 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 : 51,7 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 : 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 : 349 pages
File Size : 43,8 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 : 40,7 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 : Kevin Broughan
Publisher : Cambridge University Press
Page : 705 pages
File Size : 52,5 Mb
Release : 2023-09-30
Category : Mathematics
ISBN : 9781009384803
This third volume presents further equivalents to the Riemann hypothesis and explores its decidability.
Author : Dimitrios Poulakis,George Rahonis
Publisher : Springer Nature
Page : 233 pages
File Size : 43,5 Mb
Release : 2022-10-17
Category : Computers
ISBN : 9783031196850
This book constitutes the proceedings of the 9th International Conference on Algebraic Informatics, CAI 2022, held as virtual event, in October 27–29, 2022. The 2 abstracts, 3 full papers of invited speakers, and 12 contributed papers presented in this volume were carefully reviewed and selected from 17 submissions. The papers contain original and unpublished research; the topics of them lie in automata theory, cryptography, coding theory, DNA computation, computer algebra, and theory of software architectures.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 513 pages
File Size : 42,8 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 : Louis H Kauffman,Fred Cummins,Randolph Dible,Leon Conrad,Graham Ellsbury,Andrew Crompton,Florian Grote
Publisher : World Scientific
Page : 944 pages
File Size : 53,9 Mb
Release : 2023-01-09
Category : Mathematics
ISBN : 9789811247446
Laws of Form is a seminal work in foundations of logic, mathematics and philosophy published by G Spencer-Brown in 1969. The book provides a new point of view on form and the role of distinction, markedness and the absence of distinction (the unmarked state) in the construction of any universe. A conference was held August 8-10, 2019 at the Old Library, Liverpool University, 19 Abercromby Square, L697ZN, UK to celebrate the 50th anniversary of the publication of Laws of Form and to remember George Spencer-Brown, its author. The book is a collection of papers introducing and extending Laws of Form written primarily by people who attended the conference in 2019.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 591 pages
File Size : 43,7 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.
Author : Peter B. Borwein
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 55,6 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 : Jeffrey Stopple
Publisher : Cambridge University Press
Page : 404 pages
File Size : 42,9 Mb
Release : 2003-06-23
Category : Mathematics
ISBN : 0521012538
An undergraduate-level 2003 introduction whose only prerequisite is a standard calculus course.
Author : Sergio Albeverio,Anindita Balslev,Ricardo Weder
Publisher : Springer Nature
Page : 316 pages
File Size : 42,8 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 : Dorian Goldfeld
Publisher : Cambridge University Press
Page : 65 pages
File Size : 42,6 Mb
Release : 2006-08-03
Category : Mathematics
ISBN : 9781139456203
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.
Author : Barry Mazur,William Stein
Publisher : Cambridge University Press
Page : 155 pages
File Size : 44,7 Mb
Release : 2016-04-11
Category : Mathematics
ISBN : 9781107101920
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
