MARC details
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05625cam a2200865 a 4500 |
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ocn823170187 |
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OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20220711185714.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr cnu---unuuu |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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130102s2007 njua ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
N$T |
| Language of cataloging |
eng |
| Description conventions |
pn |
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N$T |
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E7B |
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IDEBK |
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OCLCE |
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OCLCQ |
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LUU |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
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| National bibliography number |
GBA747328 |
| Source |
bnb |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
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| Record control number |
013772699 |
| Source |
Uk |
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846121164 |
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961573299 |
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962711574 |
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1228526845 |
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1228595773 |
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1262685724 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781400845934 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1400845939 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1283848295 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781283848299 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9780691124377 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
069112437X |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000053298918 |
| 029 1# - (OCLC) |
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DEBBG |
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BV040885332 |
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DEBBG |
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BV043057818 |
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DEBSZ |
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446460729 |
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GBVCP |
| System control number |
1003721176 |
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| OCLC library identifier |
NZ1 |
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15344415 |
| 029 1# - (OCLC) |
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| OCLC library identifier |
AU@ |
| System control number |
000069866450 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)823170187 |
| Canceled/invalid control number |
(OCoLC)846121164 |
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(OCoLC)961573299 |
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(OCoLC)962711574 |
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(OCoLC)988429705 |
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(OCoLC)991942706 |
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(OCoLC)994899386 |
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(OCoLC)1037740296 |
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(OCoLC)1038596886 |
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(OCoLC)1045477236 |
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(OCoLC)1055332194 |
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(OCoLC)1058114194 |
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(OCoLC)1065074471 |
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(OCoLC)1153518420 |
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(OCoLC)1162413064 |
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(OCoLC)1181905627 |
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(OCoLC)1228526845 |
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(OCoLC)1228595773 |
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(OCoLC)1262685724 |
| 037 ## - SOURCE OF ACQUISITION |
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| Stock number |
22573/ctt1jkj4g |
| Source of stock number/acquisition |
JSTOR |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA246 |
| Item number |
.H375 2007eb |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Subject category code subdivision |
022000 |
| Source |
bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT022000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.7/3 |
| Edition number |
22 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
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| Classification number |
SK 180 |
| Source of number |
rvk |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Harman, G. |
| Fuller form of name |
(Glyn), |
| Dates associated with a name |
1956- |
| 9 (RLIN) |
325450 |
| 245 10 - TITLE STATEMENT |
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| Title |
Prime-detecting sieves / |
| Statement of responsibility, etc |
Glyn Harman. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Princeton : |
| Name of publisher, distributor, etc |
Princeton University Press, |
| Date of publication, distribution, etc |
©2007. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xiv, 362 pages) : |
| Other physical details |
illustrations |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 490 1# - SERIES STATEMENT |
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| Series statement |
London Mathematical Society monographs series ; |
| Volume number/sequential designation |
v. 33 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 349-359) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
The Vaughan identity -- The alternative sieve -- The Rosser-Iwaniec sieve -- Developing the alternative sieve -- An upper-bound sieve -- Primes in short intervals -- The Brun-Titchmarsh theorem on average -- Primes in almost all intervals -- Combination with the vector sieve -- Generalizing to algebraic number fields -- Variations on Gaussian primes -- Primes of the form x [cubed] + 2y [cubed]. |
| 588 0# - |
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| -- |
Print version record. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the ideas common to each, in particular the use of Type I and Type II information. No other book has undertaken such a systematic treatment of prime-detecting sieves. Among the many topics Glyn Harman covers are primes in short intervals, the greatest prime factor of the sequence of shifted primes, Goldbach numbers in short intervals, the distribution of Gaussian primes, and the recent work of John Friedlander and Iwaniec on primes that are a sum of a square and a fourth power, and Heath-Brown's work on primes represented as a cube plus twice a cube. This book contains much that is accessible to beginning graduate students, yet also provides insights that will benefit established researchers. |
| 546 ## - LANGUAGE NOTE |
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| Language note |
English. |
| 590 ## - LOCAL NOTE (RLIN) |
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| Local note |
eBooks on EBSCOhost |
| Provenance (VM) [OBSOLETE] |
EBSCO eBook Subscription Academic Collection - Worldwide |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Sieves (Mathematics) |
| 9 (RLIN) |
191173 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Numbers, Prime. |
| 9 (RLIN) |
325451 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Number theory. |
| 9 (RLIN) |
147498 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Cribles (Mathématiques) |
| 9 (RLIN) |
914533 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Nombres premiers. |
| 9 (RLIN) |
906764 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Théorie des nombres. |
| 9 (RLIN) |
866894 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
MATHEMATICS |
| General subdivision |
Number Theory. |
| Source of heading or term |
bisacsh |
| 9 (RLIN) |
865493 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Number theory. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01041214 |
| 9 (RLIN) |
147498 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Numbers, Prime. |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01041241 |
| 9 (RLIN) |
325451 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Sieves (Mathematics) |
| Source of heading or term |
fast |
| -- |
(OCoLC)fst01118215 |
| 9 (RLIN) |
191173 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Primzahl |
| Source of heading or term |
gnd |
| 9 (RLIN) |
906765 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Sieb |
| Source of heading or term |
gnd |
| 9 (RLIN) |
914534 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Zahlkörper |
| Source of heading or term |
gnd |
| 9 (RLIN) |
914535 |
| 655 #0 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Display text |
Print version: |
| Main entry heading |
Harman, G. (Glyn), 1956- |
| Title |
Prime-detecting sieves. |
| Place, publisher, and date of publication |
Princeton : Princeton University Press, ©2007 |
| International Standard Book Number |
9780691124377 |
| Record control number |
(DLC) 2007061051 |
| -- |
(OCoLC)132585714 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
London Mathematical Society monographs ; |
| Volume number/sequential designation |
new ser., no. 33. |
| 9 (RLIN) |
246382 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=507380">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=507380</a> |
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Askews and Holts Library Services |
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ASKH |
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AH28073933 |
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ebr10629460 |
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EBSCOhost |
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EBSC |
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507380 |
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ProQuest MyiLibrary Digital eBook Collection |
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IDEB |
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cis24343104 |
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YBP Library Services |
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YANK |
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9935552 |
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92 |
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INOPJ |
