The Prime Number Theorem

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

Abstract

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

Keywords

Sine 

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

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

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