Sieve methods (Dover ed.)

Derived from the techniques of analytic number theory, sieve theory employs methods from mathematical analysis to solve number-theoretical problems.

This text by a noted pair of experts is regarded as the definitive work on the subject.

It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications."e;For years to come, Sieve Methods will be vital to those seeking to work in the subject, and also to those seeking to make applications,"e; noted prominent mathematician Hugh Montgomery in his review of this volume for the Bulletin of the American Mathematical Society.

The authors supply the theoretical background for the method of Jurkat-Richert and illustrate it by means of significant applications, concentrating on the "e;small"e; sieves of Brun and Selberg.

Additional topics include the linear sieve, a weighted sieve, and Chen's theorem.