ENGLISH

Opera De Cribro

By Henryk Iwaniec , John Friedlander

Book information

Publisher
American Mathematical Society
Year
2010
ISBN
0821849700, 9780821849705
Language
english
Format
PDF
Filesize
6 MB (5934303 bytes)
Series
Colloquium Publications 57
Pages
527\554
Time added
2017-11-04 09:47:34
Algebra;Mathematics;Number Theory

Description

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.

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