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Encyclopedia of Mathematics and its Applications Equivalents of the Riemann Hypothesis: Series Number 165: Analytic Equivalents Volume 2 (Hardback)
  • Encyclopedia of Mathematics and its Applications Equivalents of the Riemann Hypothesis: Series Number 165: Analytic Equivalents Volume 2 (Hardback)
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Encyclopedia of Mathematics and its Applications Equivalents of the Riemann Hypothesis: Series Number 165: Analytic Equivalents Volume 2 (Hardback)

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£120.00
Hardback 522 Pages / Published: 02/11/2017
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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.

Publisher: Cambridge University Press
ISBN: 9781107197121
Number of pages: 522
Weight: 870 g
Dimensions: 241 x 162 x 32 mm


MEDIA REVIEWS
'Throughout the book careful proofs are given for all the results discussed, introducing an impressive range of mathematical tools. Indeed, the main achievement of the work is the way in which it demonstrates how all these diverse subject areas can be brought to bear on the Riemann hypothesis. The exposition is accessible to strong undergraduates, but even specialists will find material here to interest them.' D. R. Heath-Brown, Mathematical Reviews
'Throughout the book careful proofs are given for all the results discussed, introducing an impressive range of mathematical tools. Indeed, the main achievement of the work is the way in which it demonstrates how all these diverse subject areas can be brought to bear on the Riemann hypothesis. The exposition is accessible to strong undergraduates, but even specialists will find material here to interest them.' D. R. Heath-Brown, Mathematical Reviews

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