Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Sieves in number theory

Greaves, George Richard Herbert 2001. Sieves in number theory. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics, vol. 43. Berlin: Springer-Verlag.

Full text not available from this repository.

Abstract

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.

Item Type: Book
Book Type: Authored Book
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Number theory; Sieves; bilinear remainder term; sieves of "dimension" exceeding 1; sieves with weights
Publisher: Springer-Verlag
ISBN: 9783540416470
Last Modified: 19 Mar 2018 16:52
URI: http://orca-mwe.cf.ac.uk/id/eprint/1761

Citation Data

Cited 95 times in Google Scholar. View in Google Scholar

Actions (repository staff only)

Edit Item Edit Item