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Equivalents of the Riemann Hypothesis: 2 (Encyclopedia of Mathematics and its Applications, Series Number 165) - Tapa dura

Libro 167 de 188: Encyclopedia of Mathematics and its Applications

Broughan, Kevin

 
9781107197121: Equivalents of the Riemann Hypothesis: 2 (Encyclopedia of Mathematics and its Applications, Series Number 165)
Tapa dura
ISBN 10: 1107197120 ISBN 13: 9781107197121
Editorial: Cambridge University Press, 2017

Sinopsis

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.

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Acerca del autor

Kevin Broughan is Emeritus Professor in the Department of Mathematics and Statistics at the University of Waikato, New Zealand. In these two volumes he has used a unique combination of mathematical knowledge and skills. Following the publication of his Columbia University thesis, he worked on problems in topology before undertaking work on symbolic computation, leading to development of the software system SENAC. This led to a symbolic-numeric dynamical systems study of the zeta function, giving new insights into its behaviour, and was accompanied by publication of the software GL(n)pack as part of D. Goldfeld's book, Automorphic Forms and L-Functions for the Group GL(n,R). Professor Broughan has published widely on problems in prime number theory. His other achievements include co-establishing the New Zealand Mathematical Society, the School of Computing and Mathematical Sciences at the University of Waikato, and the basis for New Zealand's connection to the internet.

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Editorial
Cambridge University Press
Año de publicación
2017
Idioma
Inglés
ISBN 10 
1107197120
ISBN 13 
9781107197121
Encuadernación
Tapa dura
Número de páginas
512
Contacto del fabricante
Cambridge University Press
https://www.cambridge.org/

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