The Great Prime Number Race (Paperback)
Language: English
Published by American Mathematical Society, Providence, 2021
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 69.55
Quantity: 1 available
Add to basketItem description from seller
Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9781470462574
- Title
- The Great Prime Number Race (Paperback)
- Author
- Roger Plymen
- Publisher
- American Mathematical Society, Providence
- Publication year
- 2021
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1470462575
- ISBN 13
- 9781470462574
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Grand Eagle Retail
Bensenville, IL, U.S.A.
AbeBooks seller since October 12, 2005
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