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The Development of Prime Number Theory : From Euclid to Hardy and Littlewood

Author: Władysław Narkiewicz
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2000.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This 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, Vallée-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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Władysław Narkiewicz
ISBN: 9783662131572 3662131579
OCLC Number: 851372014
Description: 1 online resource (xii, 449 pages).
Contents: Early Times --
Dirichlet's Theorem on Primes in Arithmetic Progressions --
Cebysev's Theorem --
Riemann's Zeta-Function and Dirichlet series --
The Prime Number Theorem --
The Turn of the Century.
Series Title: Springer monographs in mathematics.
Responsibility: by Władysław Narkiewicz.

Abstract:

People were already interested in prime numbers in ancient times, and the first result concerning the distribution of primes appears in Euclid's Elemen- ta, where we find a proof of their infinitude,  Read more...

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