| 000 | 04564cam a2200757 a 4500 | ||
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| 001 | ocn288971842 | ||
| 003 | OCoLC | ||
| 005 | 20250703131934.0 | ||
| 006 | m o d | ||
| 007 | cr unu|||||||| | ||
| 008 | 081218s1993 gw a ob 001 0 eng d | ||
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| 020 |
_a9783540478928 _q(electronic bk.) |
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| 020 |
_a3540478922 _q(electronic bk.) |
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| 020 | _z3540570136 | ||
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_aQA3 _b.L28 no. 1554 _aQA246 |
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| 049 | _aMAIN | ||
| 100 | 1 |
_aLenstra, A. K. _q(Arjen K.), _d1956- _973177 |
|
| 245 | 1 | 4 |
_aThe development of the number field sieve / _cA.K. Lenstra, H.W. Lenstra, Jr. |
| 260 |
_aBerlin ; _aNew York : _bSpringer-Verlag, _c©1993. |
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| 300 |
_a1 online resource (viii, 131 pages) : _billustrations |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aLecture notes in mathematics, _x0075-8434 ; _v1554 |
|
| 504 | _aIncludes bibliographical references and index. | ||
| 520 | _aThe 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 |
_3Use copy _fRestrictions unspecified _2star _5MiAaHDL |
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| 533 |
_aElectronic reproduction. _b[Place of publication not identified] : _cHathiTrust Digital Library, _d2010. _5MiAaHDL |
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| 538 |
_aMaster and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. _uhttp://purl.oclc.org/DLF/benchrepro0212 _5MiAaHDL |
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| 583 | 1 |
_adigitized _c2010 _hHathiTrust Digital Library _lcommitted to preserve _2pda _5MiAaHDL |
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| 588 | 0 | _aPrint version record. | |
| 505 | 0 | _aThe 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 |
_aSieves (Mathematics) _94513 |
|
| 650 | 6 |
_aCribles (Mathématiques) _973178 |
|
| 650 | 0 | 7 |
_aCribas (Matemáticas) _2embucm _9973790 |
| 650 | 7 |
_aSieves (Mathematics) _2fast _94513 |
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| 650 | 7 |
_aAlgebraischer Zahlkörper _2gnd _94807 |
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| 650 | 7 |
_aSiebmethode _2gnd _973179 |
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| 650 | 7 |
_aZahlentheorie _2gnd _94516 |
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| 650 | 7 |
_aFaktorisierung _2gnd _973180 |
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| 650 | 7 |
_aAlgorithmus _2gnd _91164 |
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| 650 | 7 |
_aAufsatzsammlung _2gnd |
|
| 650 | 1 | 7 |
_aGetaltheorie. _2gtt _914878 |
| 650 | 7 |
_aTeoria Dos Numeros. _2larpcal |
|
| 700 | 1 |
_aLenstra, H. W. _973183 |
|
| 758 |
_ihas work: _aThe development of the number field sieve (Text) _1https://id.oclc.org/worldcat/entity/E39PCFPkJY43KjjWqhpWHVbpxC _4https://id.oclc.org/worldcat/ontology/hasWork |
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| 776 | 0 | 8 |
_iPrint version: _aLenstra, A.K. (Arlen K.), 1956- _tDevelopment of the number field sieve. _dBerlin ; New York : Springer-Verlag, ©1993 _z3540570136 _w(DLC) 93005229 _w(OCoLC)28338044 |
| 830 | 0 |
_aLecture notes in mathematics (Springer-Verlag) ; _v1554. |
|
| 856 | 4 | 0 | _uhttps://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0091534 |
| 938 |
_aYBP Library Services _bYANK _n301969388 |
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| 994 |
_a92 _bATIST |
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| 999 |
_c649876 _d649876 |
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