National Science Library of Georgia

The large sieve and its applications : (Record no. 517791)

MARC details
000 -LEADER
fixed length control field 03000nam a22003978i 4500
001 - CONTROL NUMBER
control field CR9780511542947
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200124160233.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 090505s2008||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780511542947 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9780521888516 (hardback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA242.5
Item number .K69 2008
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.73
Edition number 22
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kowalski, Emmanuel,
Dates associated with a name 1969-
Relator term author.
245 14 - TITLE STATEMENT
Title The large sieve and its applications :
Remainder of title arithmetic geometry, random walks and discrete groups /
Statement of responsibility, etc E. Kowalski.
246 3# - VARYING FORM OF TITLE
Title proper/short title The Large Sieve & its Applications
264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R)
Place of production, publication, distribution, manufacture (R) Cambridge :
Name of producer, publisher, distributor, manufacturer (R) Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2008.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xxi, 293 pages) :
Other physical details digital, PDF file(s).
336 ## - Content Type (R)
Content type term (R) text
Content type code (R) txt
Source (NR) rdacontent
337 ## - Media Type (R)
Media type term (R) computer
Media type code (R) c
Source (NR) rdamedia
338 ## - Carrier Type (R)
Carrier type term (R) online resource
Carrier type code (R) cr
Source (NR) rdacarrier
490 1# - SERIES STATEMENT
სერიის ცნობა Cambridge tracts in mathematics ;
Volume number/sequential designation 175
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 00 - FORMATTED CONTENTS NOTE
Miscellaneous information 1.
Title Introduction --
Miscellaneous information 2.
Title The principle of the large sieve --
Miscellaneous information 3.
Title Group and conjugacy sieves --
Miscellaneous information 4.
Title Elementary and classical examples --
Miscellaneous information 5.
Title Degrees of representations of finite groups --
Miscellaneous information 6.
Title Probabilistic sieves --
Miscellaneous information 7.
Title Sieving in discrete groups --
Miscellaneous information 8.
Title Sieving for Frobenius over finite fields --
Miscellaneous information App. A.
Title Small sieves --
Miscellaneous information App. B.
Title Local density computations over finite fields --
Miscellaneous information App. C.
Title Representation theory --
Miscellaneous information App. D.
Title Property (T) and Property ([tau]) --
Miscellaneous information App. E.
Title Linear algebraic groups --
Miscellaneous information App. F.
Title Probability theory and random walks --
Miscellaneous information App. G.
Title Sums of multiplicative functions --
Miscellaneous information App. H.
Title Topology.
520 ## - SUMMARY, ETC.
Summary, etc Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realisation that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Sieves (Mathematics)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Arithmetical algebraic geometry.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Random walks (Mathematics)
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Discrete groups.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
International Standard Book Number 9780521888516
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Cambridge tracts in mathematics ;
Volume number/sequential designation 175.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9780511542947">https://doi.org/10.1017/CBO9780511542947</a>

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