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This is a true masterpiece that will prove to be indispensable to the serious researcher for many years to come."" -Enrico Bombieri, Institute for Advanced Study

""This is a truly comprehensive account of sieves and their applications, by two of the world's greatest authorities. Beginners will find a thorough introduction to the subject, with plenty of helpful motivation. The more practised reader will appreciate the authors' insights into some of the more mysterious parts of the theory, as well as the wealth of new examples."" -Roger Heath-Brown, University of Oxford, Fellow of...