東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Equivalents of the Riemann Hypothesis./ Kevin Broughan.
remainder title:	Further steps towards resolving the Riemann Hypothesis
Author:	Broughan, Kevin A.
Published:	Cambridge, England :Cambridge University Press, : 2024.,
Description:	xx, 684 p. :ill., digital ;24 cm.
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

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[electronic resource] /Further steps towards resolving the Riemann HypothesisKevin Broughan. - Cambridge, England :Cambridge University Press,2024. - xx, 684 p. :ill., digital ;24 cm. - Encyclopedia of mathematics and its applications ;187. - Encyclopedia of mathematics and its applications ;187..

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: 9781009384780Subjects--Topical Terms:

3259151
Riemann hypothesis.

LC Class. No.: QA246 / .B745 2024

Dewey Class. No.: 512.73

Equivalents of the Riemann Hypothesis.. Volume 3,. Further steps towards resolving the Riemann Hypothesis
LDR:02093nmm a2200277 a 4500 001 2378173
003 UkCbUP
005 20231029095515.0
006 m d
007 cr nn 008maaau
008 250304s2024 enk o 1 0 eng d
020 $a 9781009384780 $q (electronic bk.)
020 $a 9781009384803 $q (hardback)
035 $a CR9781009384780
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA246 $b .B745 2024
082 0 4 $a 512.73 $2 23
090 $a QA246 $b .B875 2024
100 1 $a Broughan, Kevin A. $q (Kevin Alfred), $d 1943- $3 3729321
245 1 0 $a Equivalents of the Riemann Hypothesis. $n Volume 3, $p Further steps towards resolving the Riemann Hypothesis $h [electronic resource] / $c Kevin Broughan.
246 3 0 $a Further steps towards resolving the Riemann Hypothesis
260 $a Cambridge, England : $b Cambridge University Press, $c 2024.
300 $a xx, 684 p. : $b ill., digital ; $c 24 cm.
490 1 $a Encyclopedia of mathematics and its applications ; $v 187
500 $a Title from publisher's bibliographic system (viewed on 11 Oct 2023).
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.
650 0 $a Riemann hypothesis. $3 3259151
830 0 $a Encyclopedia of mathematics and its applications ; $v 187. $3 3729322
856 4 0 $u https://doi.org/10.1017/9781009384780