MARC details
| 000 -LEADER |
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| fixed length control field |
04564cam a2200757 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
ocn288971842 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250703131934.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr unu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
081218s1993 gw a ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
SPLNM |
| Language of cataloging |
eng |
| Description conventions |
pn |
| Transcribing agency |
SPLNM |
| Modifying agency |
COO |
| -- |
GW5XE |
| -- |
OCLCQ |
| -- |
GW5XE |
| -- |
OCLCE |
| -- |
OCLCF |
| -- |
OCLCQ |
| -- |
TXI |
| -- |
OCLCQ |
| -- |
ESU |
| -- |
VT2 |
| -- |
CEF |
| -- |
DEFHM |
| -- |
U3W |
| -- |
AU@ |
| -- |
OCLCO |
| -- |
YOU |
| -- |
OCLCQ |
| -- |
OCLCA |
| -- |
OCLCQ |
| -- |
YDX |
| -- |
OCLCO |
| -- |
OCLCQ |
| -- |
OCLCO |
| -- |
S9M |
| -- |
OCLCL |
| -- |
OCLCA |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
|---|
| Record control number |
000010182573 |
| Source |
AU |
| 019 ## - |
|---|
| -- |
681431753 |
| -- |
1005797015 |
| -- |
1044307242 |
| -- |
1048193273 |
| -- |
1050960239 |
| -- |
1056404929 |
| -- |
1057955548 |
| -- |
1060866907 |
| -- |
1063835383 |
| -- |
1073064643 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783540478928 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
3540478922 |
| Qualifying information |
(electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
3540570136 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9783540570134 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
0387570136 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Canceled/invalid ISBN |
9780387570136 |
| 029 1# - (OCLC) |
|---|
| OCLC library identifier |
AU@ |
| System control number |
000051321908 |
| 029 1# - (OCLC) |
|---|
| OCLC library identifier |
NZ1 |
| System control number |
15298477 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)288971842 |
| Canceled/invalid control number |
(OCoLC)681431753 |
| -- |
(OCoLC)1005797015 |
| -- |
(OCoLC)1044307242 |
| -- |
(OCoLC)1048193273 |
| -- |
(OCoLC)1050960239 |
| -- |
(OCoLC)1056404929 |
| -- |
(OCoLC)1057955548 |
| -- |
(OCoLC)1060866907 |
| -- |
(OCoLC)1063835383 |
| -- |
(OCoLC)1073064643 |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
dlr |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA3 |
| Item number |
.L28 no. 1554 |
| Classification number |
QA246 |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBH |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT022000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
510 s |
| -- |
512/.72 |
| Edition number |
20 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
31.14 |
| Number source |
bcl |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lenstra, A. K. |
| Fuller form of name |
(Arjen K.), |
| Dates associated with a name |
1956- |
| 9 (RLIN) |
73177 |
| 245 14 - TITLE STATEMENT |
|---|
| Title |
The development of the number field sieve / |
| Statement of responsibility, etc. |
A.K. Lenstra, H.W. Lenstra, Jr. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc. |
Berlin ; |
| -- |
New York : |
| Name of publisher, distributor, etc. |
Springer-Verlag, |
| Date of publication, distribution, etc. |
©1993. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (viii, 131 pages) : |
| Other physical details |
illustrations |
| 336 ## - CONTENT TYPE |
|---|
| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
|---|
| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
|---|
| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Lecture notes in mathematics, |
| International Standard Serial Number |
0075-8434 ; |
| Volume/sequential designation |
1554 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. Proposed by John Pollard in 1988, the method was used in 1990 to factor the ninth Fermat number, a 155-digit integer. The algorithm is most suited to numbers of a special form, but there is a promising variant that applies in general. This volume contains six research papers that describe the operation of the number field sieve, from both theoretical and practical perspectives. Pollard's original manuscript is included. In addition, there is an annotated bibliography of directly related literature. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE |
|---|
| Materials specified |
Use copy |
| Standardized terminology for access restriction |
Restrictions unspecified |
| Source of term |
star |
| Institution to which field applies |
MiAaHDL |
| 533 ## - REPRODUCTION NOTE |
|---|
| Type of reproduction |
Electronic reproduction. |
| Place of reproduction |
[Place of publication not identified] : |
| Agency responsible for reproduction |
HathiTrust Digital Library, |
| Date of reproduction |
2010. |
| Institution to which field applies |
MiAaHDL |
| 538 ## - SYSTEM DETAILS NOTE |
|---|
| System details note |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Uniform Resource Identifier |
<a href="http://purl.oclc.org/DLF/benchrepro0212">http://purl.oclc.org/DLF/benchrepro0212</a> |
| Institution to which field applies |
MiAaHDL |
| 583 1# - ACTION NOTE |
|---|
| Action |
digitized |
| Time/date of action |
2010 |
| Jurisdiction |
HathiTrust Digital Library |
| Status |
committed to preserve |
| Source of term |
pda |
| Institution to which field applies |
MiAaHDL |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Print version record. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
The number field sieve: An annotated bibliography -- Factoring with cubic integers -- The number field sieve -- The lattice sieve -- Factoring integers with the number field sieve -- Computing a square root for the number field sieve -- A general number field sieve implementation. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Sieves (Mathematics) |
| 9 (RLIN) |
4513 |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Cribles (Mathématiques) |
| 9 (RLIN) |
73178 |
| 650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Cribas (Matemáticas) |
| Source of heading or term |
embucm |
| 9 (RLIN) |
973790 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Sieves (Mathematics) |
| Source of heading or term |
fast |
| 9 (RLIN) |
4513 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algebraischer Zahlkörper |
| Source of heading or term |
gnd |
| 9 (RLIN) |
4807 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Siebmethode |
| Source of heading or term |
gnd |
| 9 (RLIN) |
73179 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Zahlentheorie |
| Source of heading or term |
gnd |
| 9 (RLIN) |
4516 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Faktorisierung |
| Source of heading or term |
gnd |
| 9 (RLIN) |
73180 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Algorithmus |
| Source of heading or term |
gnd |
| 9 (RLIN) |
1164 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Aufsatzsammlung |
| Source of heading or term |
gnd |
| 650 17 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Getaltheorie. |
| Source of heading or term |
gtt |
| 9 (RLIN) |
14878 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Teoria Dos Numeros. |
| Source of heading or term |
larpcal |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lenstra, H. W. |
| 9 (RLIN) |
73183 |
| 758 ## - |
|---|
| -- |
has work: |
| -- |
The development of the number field sieve (Text) |
| -- |
https://id.oclc.org/worldcat/entity/E39PCFPkJY43KjjWqhpWHVbpxC |
| -- |
https://id.oclc.org/worldcat/ontology/hasWork |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Print version: |
| Main entry heading |
Lenstra, A.K. (Arlen K.), 1956- |
| Title |
Development of the number field sieve. |
| Place, publisher, and date of publication |
Berlin ; New York : Springer-Verlag, ©1993 |
| International Standard Book Number |
3540570136 |
| Record control number |
(DLC) 93005229 |
| -- |
(OCoLC)28338044 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Lecture notes in mathematics (Springer-Verlag) ; |
| Volume number/sequential designation |
1554. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0091534">https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0091534</a> |
| 938 ## - |
|---|
| -- |
YBP Library Services |
| -- |
YANK |
| -- |
301969388 |
| 994 ## - |
|---|
| -- |
92 |
| -- |
ATIST |