WorldCat Identities

Lenstra, A. K. (Arjen K.) 1956-

Overview
Works: 33 works in 119 publications in 3 languages and 785 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Thesis advisor, dgs, Other
Publication Timeline
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Most widely held works by A. K Lenstra
The development of the number field sieve by A. K Lenstra( Book )

21 editions published in 1993 in 3 languages and held by 373 WorldCat member libraries worldwide

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
The development of the number field sieve( )

1 edition published in 1993 in English and held by 38 WorldCat member libraries worldwide

Information security : 10th international conference, ISC 2007, Valparaíso, Chile, October 9-12, 2007 : proceedings by Juan A Garay( )

5 editions published in 2007 in English and held by 17 WorldCat member libraries worldwide

This book constitutes the refereed proceedings of the 10th International Conference on Information Security Conference, ISC 2007, held in Valparaiso, Chile, October 9-12, 2007. The 28 revised full papers presented were carefully reviewed and selected from 116 submissions. The topics include Intrusion Detection, Digital Rights Management, Symmetric-Key Cryptography, Cryptographic Protocols and Schemes, Identity-Based Schemes, Cryptanalysis, DoS Protection, Software Obfuscation, Public-Key Cryptosystems, Elliptic Curves and Applications and Security Issues in Databases
Factoring multivariate integral polynomials by A. K Lenstra( Book )

17 editions published in 1983 in 3 languages and held by 15 WorldCat member libraries worldwide

Implementation of a new primality test by H Cohen( Book )

7 editions published in 1985 in English and held by 14 WorldCat member libraries worldwide

Polynomial-time algorithms for the factorization of polynomials by A. K Lenstra( Book )

4 editions published in 1984 in English and held by 12 WorldCat member libraries worldwide

Factoring polynomials with rational coefficients by A. K Lenstra( Book )

7 editions published in 1982 in English and Dutch and held by 10 WorldCat member libraries worldwide

Two lines least squares by A. K Lenstra( Book )

6 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide

Polynomial factorization by root approximation by A. K Lenstra( Book )

4 editions published in 1983 in English and held by 8 WorldCat member libraries worldwide

Lattices and factorization of polynomials by A. K Lenstra( Book )

5 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide

Presents an algorithm to factorize univariate polynomials over an algebraic number field which has been implemented in Algol-68 on a CDC-Cyber 170-750 computer
Factoring polynomials over algebraic number fields by A. K Lenstra( Book )

6 editions published between 1981 and 1983 in English and held by 8 WorldCat member libraries worldwide

Factoring multivariate polynomials over algebraic number fields by A. K Lenstra( Book )

4 editions published in 1983 in English and held by 7 WorldCat member libraries worldwide

Polynomial factorization and nonrandomness of bits of algebraic and some transcendental numbers by R Kannan( Book )

2 editions published in 1984 in English and held by 7 WorldCat member libraries worldwide

Factoring multivariate polynomials over finite fields by A. K Lenstra( Book )

4 editions published in 1983 in English and held by 7 WorldCat member libraries worldwide

An algorithm for solving a diophantine equation with lower and upper bounds on the variables by K Aardal( Book )

4 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide

Information security conference : 10th international conference, ISC 2007, Valparaiso, Chile, October 9-12, 2007 ; proceedings( Book )

1 edition published in 2007 in English and held by 3 WorldCat member libraries worldwide

Topics in computational number theory inspired by Peter L. Montgomery by Joppe W Bos( Book )

2 editions published in 2017 in English and held by 3 WorldCat member libraries worldwide

This book highlights the many ideas and algorithms that Peter L. Montgomery has contributed to computational number theory and cryptography
Dopo le parole : aangeboden aan Dr. A.K. Lenstra by H. W Lenstra( Book )

2 editions published in 1984 in Dutch and held by 3 WorldCat member libraries worldwide

Faster Software Cryptography by Dag Arne Osvik( Book )

2 editions published in 2012 in English and held by 2 WorldCat member libraries worldwide

Cryptology and computational number theory by Carl Pomerance( )

1 edition published in 1990 in English and held by 0 WorldCat member libraries worldwide

 
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The development of the number field sieveThe development of the number field sieve
Alternative Names
Arjen K. Lenstra Dutch mathematician

Arjen Lenstra

Arjen Lenstra matemático neerlandés

Arjen Lenstra matematico olandese

Arjen Lenstra mathématicien néerlandais

Arjen Lenstra Nederlands wiskundige

Arjen Lenstra niederländischer Mathematiker

Lenstra, A. K.

Lenstra, Arjen 1956-

Lenstra, Arjen K. 1956-

Lenstra, Arjen Klaas

Lenstra, Arjen Klaas 1956-

Ленстра, Арьен

Languages
English (96)

Dutch (5)

German (1)

Covers
The development of the number field sieveInformation security : 10th international conference, ISC 2007, Valparaíso, Chile, October 9-12, 2007 : proceedingsInformation security conference : 10th international conference, ISC 2007, Valparaiso, Chile, October 9-12, 2007 ; proceedings