
doi: 10.2307/3620332
For this ‘centenary issue’, the editor has invited me to write a survey on progress in number theory over the last 100 years. He did not, of course, ask for a proper technical report, but just a short article suitable for Gazette readers. Fortunately number theory is one of those subjects in which one can speak, albeit superficially, on the problems and results without having to explain much of the technical details associated with them.
History of mathematics in the 20th century, sieve methods, diophantine equations, partition function, Research exposition (monographs, survey articles) pertaining to number theory, Goldbach's problem, Waring's problem, rational approximations to irrationals, primes in arithmetic progressions, transcendental numbers, computational number theory, History of number theory, survey, exponential sums, prime number theorem, gaps between primes
History of mathematics in the 20th century, sieve methods, diophantine equations, partition function, Research exposition (monographs, survey articles) pertaining to number theory, Goldbach's problem, Waring's problem, rational approximations to irrationals, primes in arithmetic progressions, transcendental numbers, computational number theory, History of number theory, survey, exponential sums, prime number theorem, gaps between primes
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