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The development of the number field sieve
Authors: ---
ISBN: 3540570136 9783540570134 0387570136 3540478922 Year: 1993 Volume: 1554 Publisher: Berlin ; Heidelberg : Springer-Verlag,

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Abstract

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.


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Basic analysis of regularized series and products
Authors: ---
ISBN: 3540574883 0387574883 3540481931 9783540574880 Year: 1993 Volume: 1564 Publisher: Berlin: Springer,

The nature and power of mathematics
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ISBN: 0691025622 0691087830 9780691025629 Year: 1993 Publisher: Princeton (N.J.): Princeton university press,

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