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Field name	Details
Dewey Class	519
Title	The development of the number field sieve ([EBook] /) / edited by Arjen K. Lenstra, Hendrik W. Lenstra.
Added Personal Name	Lenstra, Arjen K. editor.
Added Personal Name	Lenstra, Hendrik W. editor.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1993.
Physical Details	VIII, 140 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1554
ISBN	9783540478928
Summary Note	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.:
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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0091534
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Combinatorics . Engineering mathematics . Mathematics . Number Theory . Authors: Lenstra, Arjen K. . Lenstra, Hendrik W. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 519 .

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The development of the number field sieve

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