Multiplicative Number Theory II

'This very readable volume, by two great expositors, will provide the student with a thorough grounding in the applications of sieves in multiplicative number theory. The exercises are a real bonus, encouraging the reader to explore in many further directions.' Roger Heath-Brown OBE FRS, University of Oxford 'The new text of Montgomery and Vaughan is exquisite! The chapters start off at a gentle pace and accelerate to advanced material. The exercises guide the beginner and expert alike to research topics. The illustrations are inspiring. This book could be used in any intermediate course on analytic number theory and as a reference should be in every mathematician's library.' Brian Conrey, American Institute of Mathematics 'Like Volume I, this will be a go-to resource for those wanting a crisp, careful treatment of core topics in analytic number theory, written by two senior figures in the field.' Ben Green, University of Oxford 'This excellent book is a must-have for anyone serious about the distribution of primes. The focus is on the various sieve methods, and their application to questions on primes, including the recent developments on bounded gaps between primes. There are numerous exercises in each section, all very well prepared and set up to introduce the reader to the research literature. Indeed, the exercise sections add much value to the book. A true masterpiece!' Jörg Brüdern,, Georg-August-Universität Göttingen