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Equivalents Of The Riemann Hypothesis Volume 1 Arithmetic 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 1 Arithmetic Equivalents book. This book definitely worth reading, it is an incredibly well-written.
Author : Kevin Broughan
Publisher : Cambridge University Press
Page : 349 pages
File Size : 45,9 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 : 349 pages
File Size : 44,8 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 : 46,7 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 : 706 pages
File Size : 55,8 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 : 43,9 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 : 0 pages
File Size : 52,5 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 : 513 pages
File Size : 40,6 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 : Peter B. Borwein
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 41,7 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 : Dimitrios Poulakis,George Rahonis
Publisher : Springer Nature
Page : 233 pages
File Size : 46,9 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 : Olivier Bordellès
Publisher : Springer Nature
Page : 782 pages
File Size : 53,7 Mb
Release : 2020-11-26
Category : Mathematics
ISBN : 9783030549466
This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses. Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers à la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results. Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.
Author : Louis H Kauffman,Fred Cummins,Randolph Dible,Leon Conrad,Graham Ellsbury,Andrew Crompton,Florian Grote
Publisher : World Scientific
Page : 944 pages
File Size : 42,9 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 : 45,5 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.
Author : Stephen D. Casey,M. Maurice Dodson,Paulo J. S. G. Ferreira,Ahmed Zayed
Publisher : Springer Nature
Page : 580 pages
File Size : 42,5 Mb
Release : 2024-01-04
Category : Mathematics
ISBN : 9783031411304
During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.
Author : Barry Mazur,William Stein
Publisher : Cambridge University Press
Page : 155 pages
File Size : 47,7 Mb
Release : 2016-04-11
Category : Mathematics
ISBN : 9781107101920
This book introduces prime numbers and explains the famous unsolved Riemann hypothesis.
Author : Sergio Albeverio,Anindita Balslev,Ricardo Weder
Publisher : Springer Nature
Page : 316 pages
File Size : 41,8 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.
