Motohashi Y. Lectures on Sieve Methods and Prime Number Theory

Bombay: Tata Institute of Fundamental Research, 1983. — 181 p. — ISBN 3-540-12281-8, 0-387-12281-8.In the last years we have witnessed penetrations of sieve methods into the core of analytic number theory - the theory of the distribution of prime numbers. The aim of these lectures which I delivered at the Tata Institute of Fundamental Research during a two-month course early 1981 was to introduce my hearers to the most fascinating aspects of the fruitful unifications of sieve methods and analytical means which made possible such deep developments in prime number theory.