Sieves in Number Theory

This book surveys the current state of the small sieve methods developed byBrun Selberg and later workers.. A selfcontained treatment is given to topicsthat are... » 

This book surveys the current state of the small sieve methods developed byBrun Selberg and later workers.. A selfcontained treatment is given to topicsthat are of central importance in the subject. These include the upper boundmethod of Selberg Bruns method Rossers sieve as developed by Iwaniec witha bilinear form of the remainder term the sieve with weights and the use ofSelbergs ideas in deriving lowerbound sieves. Further developments areintroduced with the support of references t. The book is suitable foruniversity graduates making their first acquaintance with the subject leadingthem towards the frontiers of modern research and unsolved problems in thesubject area. «