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Equivalents of the Riemann Hypothesis.. Volume 3,. Further steps towards resolving the Riemann Hypothesis /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Equivalents of the Riemann Hypothesis./ Kevin Broughan.
Author:	Broughan, Kevin A.
Description:	1 online resource (xx, 684 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 11 Oct 2023).
Subject:	Riemann hypothesis. -
Online resource:	https://doi.org/10.1017/9781009384780
ISBN:	9781009384780 (ebook)

Equivalents of the Riemann Hypothesis.. Volume 3,. Further steps towards resolving the Riemann Hypothesis /
Broughan, Kevin A.1943-

Equivalents of the Riemann Hypothesis.Volume 3,Further steps towards resolving the Riemann Hypothesis /Kevin Broughan. - 1 online resource (xx, 684 pages) :digital, PDF file(s). - Encyclopedia of mathematics and its applications ;187. - Encyclopedia of mathematics and its applications ;v. 82..

Title from publisher's bibliographic system (viewed on 11 Oct 2023).

The Riemann hypothesis (RH) may be the most important outstanding problem in mathematics. This third volume on equivalents to RH comprehensively presents recent results of Nicolas, Rogers-Tao-Dobner, Polymath15, and Matiyasevich. Particularly interesting are derivations which show, assuming all zeros on the critical line are simple, that RH is decidable. Also included are classical Pólya-Jensen equivalence and related developments of Ono et al. Extensive appendices highlight key background results, most of which are proved. The book is highly accessible, with definitions repeated, proofs split logically, and graphical visuals. It is ideal for mathematicians wishing to update their knowledge, logicians, and graduate students seeking accessible number theory research problems. The three volumes can be read mostly independently. Volume 1 presents classical and modern arithmetic RH equivalents. Volume 2 covers equivalences with a strong analytic orientation. Volume 3 includes further arithmetic and analytic equivalents plus new material on RH decidability.

ISBN: 9781009384780 (ebook)Subjects--Topical Terms:

1201268
Riemann hypothesis.

LC Class. No.: QA246 / .B745 2024

Dewey Class. No.: 512.7/3

Equivalents of the Riemann Hypothesis.. Volume 3,. Further steps towards resolving the Riemann Hypothesis /
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520 $a The Riemann hypothesis (RH) may be the most important outstanding problem in mathematics. This third volume on equivalents to RH comprehensively presents recent results of Nicolas, Rogers-Tao-Dobner, Polymath15, and Matiyasevich. Particularly interesting are derivations which show, assuming all zeros on the critical line are simple, that RH is decidable. Also included are classical Pólya-Jensen equivalence and related developments of Ono et al. Extensive appendices highlight key background results, most of which are proved. The book is highly accessible, with definitions repeated, proofs split logically, and graphical visuals. It is ideal for mathematicians wishing to update their knowledge, logicians, and graduate students seeking accessible number theory research problems. The three volumes can be read mostly independently. Volume 1 presents classical and modern arithmetic RH equivalents. Volume 2 covers equivalences with a strong analytic orientation. Volume 3 includes further arithmetic and analytic equivalents plus new material on RH decidability.
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