Maria Bedendo: The elementary proof of the prime number theorem. Diplom thesis, Ferrara 1989. Original title: La dimostrazione elementare del teorema dei numeri primi.
The primes <= 3001 The primes between 10^n and 10^n + 1000 Some proofs of the infinity of the set of prime numbers The sieve of Eratosthenes Summary of results on linear congruences Wilson's theorem and related results Calculating pi(x) The Möbius function Some fundamental inequalities Möbius pairs The Bell series The arithmetical derivative and Selberg's identity Some remarks on the distribution of prime numbers The theorems of Chebyshev Design of the analytical proof of the prime number theorem Fundamental estimates for the zeta-function Analytical proof of the prime number theorem Selberg's formula Elementary proof of the prime number theorem REFERENCES