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＜電子ブック＞
The Development of the Number Field Sieve / edited by Arjen K. Lenstra, Hendrik W.Jr. Lenstra
(Lecture Notes in Mathematics. ISSN:16179692 ; 1554)

版	1st ed. 1993.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1993
本文言語	英語
大きさ	VIII, 140 p : online resource
冊子体	The Development of the number field sieve / A.K. Lenstra, H.W. Lenstra, Jr. (eds.) ; : gw,: us
著者標目	Lenstra, Arjen K editor Lenstra, Hendrik W.Jr editor SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Number theory LCSH:Discrete mathematics FREE:Applications of Mathematics FREE:Number Theory FREE:Discrete Mathematics
一般注記	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 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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0091534

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