Lenstra, H. W.
Overview
Works:  64 works in 186 publications in 4 languages and 1,180 library holdings 

Genres:  Educational films Filmed lectures Nonfiction films 
Roles:  Author, Editor, Opponent, Thesis advisor, Other 
Classifications:  QA3, 512.7 
Publication Timeline
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Most widely held works about
H. W Lenstra
 Achieving the unachievable by Jean Bergeron( Visual )
 porridge pulleys and Pi by Calif.) Mathematical Sciences Research Institute (Berkeley( Visual )
 Subgroups close to normal subgroups : a commentary on a paper of G.M. Bergman and H.W. Lenstra, Jr. by Cheryl E Praeger( Book )
Most widely held works by
H. W Lenstra
The development of the number field sieve by
A. K Lenstra(
Book
)
19 editions published in 1993 in 3 languages and held by 369 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 155digit 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
19 editions published in 1993 in 3 languages and held by 369 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 155digit 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
Computational methods in number theory by
H. W Lenstra(
Book
)
19 editions published between 1982 and 1987 in English and Undetermined and held by 171 WorldCat member libraries worldwide
19 editions published between 1982 and 1987 in English and Undetermined and held by 171 WorldCat member libraries worldwide
The development of the number field sieve(
)
1 edition published in 1993 in English and held by 38 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 38 WorldCat member libraries worldwide
Computational methods in number theory(
Book
)
8 editions published between 1982 and 1987 in English and Undetermined and held by 27 WorldCat member libraries worldwide
8 editions published between 1982 and 1987 in English and Undetermined and held by 27 WorldCat member libraries worldwide
Algorithms in algebraic number theory by
H. W Lenstra(
Visual
)
6 editions published between 1991 and 2008 in English and held by 25 WorldCat member libraries worldwide
Lenstra formulates the basic problems of algorithmic algebraic number theory in rigorous terms, discussing advances and unsolved questions. He shows that the study of algorithms not only increases understanding of algebraic number fields, but also stimulates curiosity about them
6 editions published between 1991 and 2008 in English and held by 25 WorldCat member libraries worldwide
Lenstra formulates the basic problems of algorithmic algebraic number theory in rigorous terms, discussing advances and unsolved questions. He shows that the study of algorithms not only increases understanding of algebraic number fields, but also stimulates curiosity about them
Computational methods in number theory(
Book
)
6 editions published between 1982 and 1987 in English and Undetermined and held by 24 WorldCat member libraries worldwide
6 editions published between 1982 and 1987 in English and Undetermined and held by 24 WorldCat member libraries worldwide
Efficient algorithms in number theory by
H. W Lenstra(
Visual
)
6 editions published between 1986 and 2007 in English and held by 20 WorldCat member libraries worldwide
Plenary address by Hendrik W. Lenstra from the Universiteit van Amsterdam, Netherlands
6 editions published between 1986 and 2007 in English and held by 20 WorldCat member libraries worldwide
Plenary address by Hendrik W. Lenstra from the Universiteit van Amsterdam, Netherlands
Computational methods in number theory(
Book
)
3 editions published in 1982 in English and held by 10 WorldCat member libraries worldwide
3 editions published in 1982 in English and held by 10 WorldCat member libraries worldwide
Euclidische getallenlichamen by
H. W Lenstra(
Book
)
5 editions published in 1977 in Dutch and held by 10 WorldCat member libraries worldwide
5 editions published in 1977 in Dutch and held by 10 WorldCat member libraries worldwide
Aeternitatem cogita by
H. W Lenstra(
Book
)
1 edition published in 2000 in Dutch and held by 9 WorldCat member libraries worldwide
1 edition published in 2000 in Dutch and held by 9 WorldCat member libraries worldwide
Lectures on Euclidean Rings by
H. W Lenstra(
Book
)
4 editions published in 1974 in Undetermined and English and held by 9 WorldCat member libraries worldwide
4 editions published in 1974 in Undetermined and English and held by 9 WorldCat member libraries worldwide
Factoring polynomials with rational coefficients by
A. K Lenstra(
Book
)
6 editions published in 1982 in English and Dutch and held by 8 WorldCat member libraries worldwide
6 editions published in 1982 in English and Dutch and held by 8 WorldCat member libraries worldwide
A sharpened version of the AanderaaRosenberg conjecture by
M. R Best(
Book
)
4 editions published between 1974 and 1975 in English and held by 7 WorldCat member libraries worldwide
4 editions published between 1974 and 1975 in English and held by 7 WorldCat member libraries worldwide
Een pak met een korte broek by
P. van Emde Boas(
Book
)
1 edition published in 1977 in Dutch and held by 6 WorldCat member libraries worldwide
1 edition published in 1977 in Dutch and held by 6 WorldCat member libraries worldwide
The acyclic subgraph problem by
H. W Lenstra(
Book
)
4 editions published in 1973 in English and held by 6 WorldCat member libraries worldwide
4 editions published in 1973 in English and held by 6 WorldCat member libraries worldwide
Galoistheorie by
H. W Lenstra(
Book
)
2 editions published between 1972 and 1981 in Dutch and held by 5 WorldCat member libraries worldwide
2 editions published between 1972 and 1981 in Dutch and held by 5 WorldCat member libraries worldwide
Euclid's algorithm in cyclotomic fields by
H. W Lenstra(
Book
)
2 editions published in 1974 in French and English and held by 4 WorldCat member libraries worldwide
2 editions published in 1974 in French and English and held by 4 WorldCat member libraries worldwide
Rational functions invariant under a finite abelian group by
H. W Lenstra(
Book
)
2 editions published in 1972 in Dutch and English and held by 4 WorldCat member libraries worldwide
2 editions published in 1972 in Dutch and English and held by 4 WorldCat member libraries worldwide
Factoring integers with elliptic curves by
H. W Lenstra(
Book
)
2 editions published in 1986 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 4 WorldCat member libraries worldwide
Primality testing and Jacobi sums by
Universiteit van Amsterdam(
Book
)
4 editions published in 1982 in English and Dutch and held by 3 WorldCat member libraries worldwide
4 editions published in 1982 in English and Dutch and held by 3 WorldCat member libraries worldwide
more
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Audience Level
0 

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Kids  General  Special 
Related Identities
 Lenstra, A. K. (Arjen K.) 1956 Other Author Editor
 Tijdeman, R. Editor
 Escher, M. C. (Maurits Cornelis) 18981972
 Bergeron, Jean (Director) Director
 Tomov, Galina Producer
 Hyndman, James Narrator
 Locomotion Films Producer
 Ciupka, Christiane Producer
 Bravo! (Television network)
 Canadian Broadcasting Corporation
Useful Links
Associated Subjects
Abelian groups Algebraic number theory Algorithms California Combinatorial analysis Curves, Elliptic Cyclotomy Escher, M. C.(Maurits Cornelis), Euclidean algorithm Gaussian measures Graph theory Group theory Invariants Jones, Vaughan F. R., Knot theory Lenstra, H. W Mathematicians Mathematics Mathematics in art Number theory Number theoryData processing Numerical analysis Numerical analysisData processing Perspective Pi Sieves (Mathematics)
Alternative Names
Hendrik Lenstra Dutch mathematician
Hendrik Lenstra matemático neerlandés
Hendrik Lenstra mathématicien néerlandais
Hendrik Lenstra nederlandsk matematikar
Hendrik Lenstra nederländsk matematiker
Hendrik Lenstra niederländischer Mathematiker
Lenstra, H. W.
Lenstra, H. W. 1949
Lenstra, Hendrik
Lenstra, Hendrik W.
Lenstra, Hendrik W. 1949
Lenstra, Hendrik Willem 1949
Хендрик Ленстра
هندريك لنسترا
هندريك لنسترا رياضياتي هولندي
ヘンドリック・レンストラ
亨德里克·倫斯特拉
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