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,...
Main Author: | |
---|---|
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