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;
developments in topics such as prime and additive number theory,
and the solution of Fermat's problem. Rational Number Theory in the
20th Century: From PNT to FLT offers a short survey of 20th century
developments in classical number theory, documenting between the
proof of the Prime Number Theorem and the proof of Fermat's Last
Theorem. The focus lays upon the part of number theory that deals
with properties of integers and rational numbers. Chapters are
divided into five time periods, which are then further divided into
subject areas. With the introduction of each new topic,
developments are followed through to the present day. This book
will appeal to graduate researchers and student in number theory,
however the presentation of main results without technicalities
will make this accessible to anyone with an interest in the area.
General
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