Shiu, P. Progress in number theory. (English) Zbl 0868.11001 Math. Gaz. 80, No. 487, 54-70 (1996). 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 Keywords:survey; prime number theorem; gaps between primes; primes in arithmetic progressions; partition function; Goldbach’s problem; Waring’s problem; sieve methods; rational approximations to irrationals; diophantine equations; transcendental numbers; exponential sums; computational number theory PDFBibTeX XMLCite \textit{P. Shiu}, Math. Gaz. 80, No. 487, 54--70 (1996; Zbl 0868.11001) Full Text: DOI