An Introduction To Sieve Methods And Their Applications

An Introduction to Sieve Methods and Their Applications (ICM Edition) is a concise and accessible guide to sieve theory, a fundamental tool in analytic number theory. It introduces classical and modern sieve techniques, including the Eratosthenes and Selberg sieves, and explores their applications in prime number theory and arithmetic progressions. Designed for advanced undergraduates, graduate students, and researchers, this edition offers clear explanations, examples, and exercises to support learning and application in mathematical research.