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

1. 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, now regarded as canonical. One feels that Euclid's argument has its place in The Book,...

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Bibliographic Details
Main Author: Narkiewicz, Wladyslaw
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2000, 2000
Edition:1st ed. 2000
Series:Springer Monographs in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. 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