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Bounded Gaps Between Primes - The Epic Breakthroughs of the Early Twenty-First Century (Paperback)
Loot Price: R1,501
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Bounded Gaps Between Primes - The Epic Breakthroughs of the Early Twenty-First Century (Paperback)
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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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