Bibliographic Information

Opera de cribro

John Friedlander, Henryk Iwaniec

(Colloquium publications / American Mathematical Society, v. 57)

American Mathematical Society, c2010

Available at  / 35 libraries

Search this Book/Journal

Note

Includes bibliographical references (p. 519-523) and index

Description and Table of Contents

Description

This is a truly comprehensive account of sieves and their applications, by two of the world's greatest authorities. Beginners will find a thorough introduction to the subject, with plenty of helpful motivation. The more practised reader will appreciate the authors' insights into some of the more mysterious parts of the theory, as well as the wealth of new examples. No analytic number theorist should be without this volume, but it will not have a place on my bookshelves--it will be permanently on my desk! --Roger Heath-Brown, University of Oxford, Fellow of Royal Society . This is a comprehensive and up-to-date treatment of sieve methods. The theory of the sieve is developed thoroughly with complete and accessible proofs of the basic theorems. Included is a wide range of applications, both to traditional questions such as those concerning primes, and to areas previously unexplored by sieve methods, such as elliptic curves, points on cubic surfaces and quantum ergodicity. New proofs are given also of some of the central theorems of analytic number theory; these proofs emphasize and take advantage of the applicability of sieve ideas. The book contains numerous comments which provide the reader with insight into the workings of the subject, both as to what the sieve can do and what it cannot do. The authors reveal recent developments by which the parity barrier can be breached, exposing golden nuggets of the subject, previously inaccessible. The variety in the topics covered and in the levels of difficulty encountered makes this a work of value to novices and experts alike, both as an educational tool and a basic reference.

by "Nielsen BookData"

Related Books: 1-1 of 1

Details

  • NCID
    BB02535837
  • ISBN
    • 9780821849705
  • LCCN
    2009046518
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Providence, R.I.
  • Pages/Volumes
    xx, 527 p.
  • Size
    26 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
Page Top