Equivalents of the Riemann Hypothesis: Volume 3, Further Steps towards Resolving the Riemann Hypothesis

The Riemann hypothesis (RH) may be the most important outstanding problem in mathematics. This third volume on equivalents to RH offers a full presentation of recent results of Nicolas, Rogers–Tao–Dobner, Bagchi, and Matiyasevich. Of particular interest here are derivations showing that RH is decidable. Also included is the classical Pólya–Jensen equivalence and related developments of Ono et al. An extensive set of appendices highlights key results, most of which are proved. The book is highly accessible, with definitions repeated, proofs split logically, and graphical visuals. Ideal for mathematicians wishing to update their knowledge, logicians, and graduate students seeking accessible research problems in number theory. Each of the three volumes can be read mostly independently. Volume 1 presents classical and modern arithmetic equivalents to RH. Volume 2 covers equivalences with a strong analytic orientation. Volume 3 includes further arithmetic and analytic equivalents plus new material on the decidability of RH.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Encyclopedia of Mathematics and its Applications
Release date:	October 2023
Authors:	Kevin Broughan
Pages:	704
ISBN-13:	978-1-00-938480-3
Categories:	Books Promotions
LSN:	1-00-938480-5
Barcode:	9781009384803

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