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OverviewThis book presents the development of Prime Number Theory from its beginnings until the end of the first decade of the XXth century. Special emphasis is given to the work of Cebysev, Dirichlet, Riemann, Vallee-Poussin, Hadamard and Landau. The book presents the principal results with proofs and also gives, mostly in short comments, an overview of the development in the last 80 years. It is, however, not a historical book since it does not give biographical details of the people who have played a role in the development of Prime Number Theory. The book contains a large list of references with more than 1800 items. It can be read by any person with a knowledge of fundamental notions of number theory and complex analysis. Full Product DetailsAuthor: Wladyslaw NarkiewiczPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2000 ed. Dimensions: Width: 15.50cm , Height: 2.50cm , Length: 23.50cm Weight: 1.830kg ISBN: 9783540662891ISBN 10: 3540662898 Pages: 449 Publication Date: 14 April 2000 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Awaiting stock The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of Contents1. Early Times.- 2. Dirichlet’s Theorem on Primes in Arithmetic Progressions.- 3. ?ebysev’s Theorem.- 4. Riemann’s Zeta-function and Dirichlet Series.- 5. The Prime Number Theorem.- 6. The Turn of the Century.- References.- Author Index.ReviewsThis is a most welcome addition to the literature on prime numbers, zeta and L-functions and arithmetical functions. ... The style is clear, with just the right amount of details. Each chapter closes with carefully chosen Exercises. Novices and experts alike will find that this a book of highest quality, which sets a standard for future works dealing with the history of Mathematics. (A.Ivic, zbMATH 0942.11002, 2021) Author InformationTab Content 6Author Website:Countries AvailableAll regions |