Bounded Gaps Between Primes: The Epic Breakthroughs of the Early Twenty-First Century - Couverture rigide

Broughan, Kevin

 
9781108836746: Bounded Gaps Between Primes: The Epic Breakthroughs of the Early Twenty-First Century
Couverture rigide
ISBN 10 : 1108836747 ISBN 13 : 9781108836746
Editeur : Cambridge University Press, 2021

Synopsis

Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems in number theory. This book documents the remarkable developments of recent decades, whereby an upper bound on the known gap length between infinite numbers of consecutive primes has been reduced to a tractable finite size. The text is both introductory and complete: the detailed way in which results are proved is fully set out and plenty of background material is included. The reader journeys from selected historical theorems to the latest best result, exploring the contributions of a vast array of mathematicians, including Bombieri, Goldston, Motohashi, Pintz, Yildirim, Zhang, Maynard, Tao and Polymath8. The book is supported by a linked and freely-available package of computer programs. The material is suitable for graduate students and of interest to any mathematician curious about recent breakthroughs in the field.

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À propos de l?auteur

Kevin Broughan is Emeritus Professor at the University of Waikato, New Zealand. He co-founded and is a Fellow of the New Zealand Mathematical Society. Broughan brings a unique set of knowledge and skills to this project, including number theory, analysis, topology, dynamical systems and computational mathematics. He previously authored the two-volume work Equivalents of the Riemann Hypothesis (Cambridge, 2017) and wrote a software package which is part of Goldfeld's Automorphic Forms and L-Functions for the Group GL(n,R) (Cambridge, 2006).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2021
Langue
anglais
ISBN 10 
1108836747
ISBN 13 
9781108836746
Reliure
Relié
Nombre de pages
590
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9781108799201: Bounded Gaps Between Primes

Edition présentée

ISBN 10 :  1108799205 ISBN 13 :  9781108799201
Editeur : Cambridge University Press, 2021
Couverture souple