The Great Prime Number Race free ebook download.

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The Great Prime Number Race free ebook download

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Mathematics

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Catalogue

Author(s):	Roger Plymen

Date:	2020-08-13	Format:	pdf	Language:	English	ISBN/ASIN:	1470462575
Pages:	152	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	3/7/2021 12:08:38 PM

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Have you ever wondered about the explicit formulas in analytic number theory? This short book provides a streamlined and rigorous approach to the explicit formulas of Riemann and von Mangoldt. The race between the prime counting function and the logarithmic integral forms a motivating thread through the narrative, which emphasizes the interplay between the oscillatory terms in the Riemann formula and the Skewes number, the least number for which the prime number theorem undercounts the number of primes. Throughout the book, there are scholarly references to the pioneering work of Euler. The book includes a proof of the prime number theorem and outlines a proof of Littlewood's oscillation theorem before finishing with the current best numerical upper bounds on the Skewes number. This book is a unique text that provides all the mathematical background for understanding the Skewes number. Many exercises are included, with hints for solutions. This book is suitable for anyone with a first course in complex analysis. Its engaging style and invigorating point of view will make refreshing reading for advanced undergraduates through research mathematicians.

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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2975849	Book	https://nitroflare.com/view/0801791E4E8B...		13.54	maveriks

Tags: Number Prime Race

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