Sieves in Number Theory
By: by George Greaves
Series: Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics -- 43; Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge A Series of Modern Surveys in Mathematics -- 43
Publisher: Springer Berlin Heidelberg
Published: 2001
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 304
ISBN-13: 9783642074950; 9783662046586
Subjects: Mathematics; Number theory
Description: This book surveys the current state of the "small" sieve methods developed by Brun, Selberg and later workers.. A self-contained treatment is given to topics that are of central importance in the subject. These include the upper bound method of Selberg, Brun's method, Rosser's sieve as developed by Iwaniec, with a bilinear form of the remainder term, the sieve with weights, and the use of Selberg's ideas in deriving lower-bound sieves. Further developments are introduced with the support of references t. The book is suitable for university graduates making their first acquaintance with the subject, leading them towards the frontiers of modern research and unsolved problems in the subject area.
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Table of contents: title: The Structure of Sifting Arguments; title: Selberg's Upper Bound Method; title: Combinatorial Methods; title: Rosser's Sieve; title: The Sieve with Weights; title: The Remainder Term in the Linear Sieve; title: Lower Bound Sieves when k > 1; title: References; title: Index.