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Bounded Gaps Between Primes

Bounded Gaps Between Primes

The Epic Breakthroughs of the Early Twenty-First Century

Kevin Broughan

Cambridge University Press
Publication date : 2021-02-25

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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.

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About the book

Author

Kevin Broughan

Imprint

Cambridge University Press

Collection

n.c

Publication date

2021-02-25

Pages

n.c

Print ISBN

9781108836746

Language

English

Ebook informations

EAN PDF

9781108875721

Price

£48.53

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Print count 0

File size 7834 Ko

Informations accessibility

EAN EPUB

9781108875004

Price

£48.53

Copy count 0

Print count 0

File size 37499 Ko

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About author(s)

Kevin Broughan

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