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Progress in number theory. (English) Zbl 0868.11001

This is a survey on progress in number theory over the last 100 years. The survey includes the following topics: the prime number theorem, gaps between primes, primes in arithmetic progressions, the partition function, Goldbach’s problem, Waring’s problem, sieve methods, rational approximations to irrationals, diophantine equations, transcendental numbers, exponential sums and computational number theory.
Reviewer: A.Perelli (Genova)

MSC:

11-02 Research exposition (monographs, survey articles) pertaining to number theory
11-03 History of number theory
01A60 History of mathematics in the 20th century
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