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

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

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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.
Request Code : ZLIBIO3181972
Categories:
Year:
2021
Edition:
1
Publisher:
Cambridge University Press
Language:
English
Pages:
590
ISBN 10:
1108836747
ISBN 13:
9781108836746
ISBN:
1108836747,9781108836746

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