Rational Number Theory in the 20th Century (eBook, PDF)

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The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan. These methods were the driving force behind new advances in prime and additive number theory. At the same time, Hecke's resuscitation of modular forms started a whole new body of research which culminated in the solution of Fermat's problem.Rational Number Theory in the 20t...

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