A centennial history of the prime number theorem. (English) Zbl 0976.11039

Apostol, Tom M.

Bambah, R. P. (ed.) et al., Number theory. Basel: Birkhäuser. Trends in Mathematics. 1-14 (2000).

The paper gives the step-by-step history of the prime number theorem. The prime number theorem is the theorem which describes the distribution of prime numbers which can be written in the form \(\pi(x)\sim x/ \log x\) where \(\pi(x)\) is the number of primes \(\leq x\). As usual, the paper is well-written and it is easy to read for the specialists in the field and non-specialists.
For the entire collection see [Zbl 0935.00033].

Reviewer: G.Kolesnik (Los Angeles)

MSC:

11N05	Distribution of primes
11-03	History of number theory

Keywords:

history; prime number theorem