The Prime Number Theorem

  • M. Ram Murty
Part of the Graduate Texts in Mathematics book series (GTM, volume 206)


Let π(x) denote the number of primes p ≤ x. The prime number theorem is the assertion that
$$ \mathop {\lim }\limits_{x \to \infty } \frac{{\pi (x)}} {{x/\log x}} = 1$$


Meromorphic Function Simple Pole Dirichlet Series Prime Number Theorem Supplementary Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • M. Ram Murty
    • 1
  1. 1.Department of MathematicsQueen’s UniversityKingstonCanada

Personalised recommendations