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Bosma, Wieb

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Author ID: bosma.wieb Recent zbMATH articles by "Bosma, Wieb"
Published as: Bosma, Wieb; Bosma, W.
Documents Indexed: 39 Publications since 1983
4 Contributions as Editor

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 2,586 times in 2,548 Documents Cited by Year
The Magma algebra system. I: The user language. Zbl 0898.68039
Bosma, Wieb; Cannon, John; Playoust, Catherine
1997
Programming with algebraic structures: Design of the Magma language. Zbl 0964.68595
Bosma, Wieb; Cannon, John; Matthews, Graham
51
1994
Some metrical observations on the approximation by continued fractions. Zbl 0519.10043
Bosma, W.; Jager, H.; Wiedijk, F.
38
1983
Optimal continued fractions. Zbl 0638.10034
Bosma, Wieb
12
1987
Signed bits and fast exponentiation. Zbl 1060.11082
Bosma, Wieb
11
2001
Explicit primality criteria for \(h\cdot 2^ k \pm 1\). Zbl 0817.11060
Bosma, Wieb
9
1993
Computation of cyclotomic polynomials with Magma. Zbl 0854.11077
Bosma, Wieb
8
1995
Complete systems of two addition laws for elliptic curves. Zbl 0841.14027
Bosma, W.; Lenstra, H. W. jun.
8
1995
Metrical theory for optimal continued fractions. Zbl 0697.10043
Bosma, Wieb; Kraaikamp, Cor
8
1990
Some remarks on Lucas-based cryptosystems. Zbl 0877.94029
Bleichenbacher, Daniel; Bosma, Wieb; Lenstra, Arjen K.
8
1995
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
6
2006
Entropy quotients and correct digits in number-theoretic expansions. Zbl 1128.11039
Bosma, Wieb; Dajani, Karma; Kraaikamp, Cor
6
2006
Optimal approximation by continued fractions. Zbl 0731.11038
Bosma, Wieb; Kraaikamp, Cor
5
1991
On arithmetically equivalent number fields of small degree. Zbl 1068.11080
Bosma, Wieb; de Smit, Bart
5
2002
Finding simultaneous Diophantine approximations with prescribed quality. Zbl 1344.11050
Bosma, Wieb; Smeets, Ionica
4
2013
Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088
Bosma, Wieb; Pohst, Michael
4
1991
Faster primality testing. Zbl 0734.68046
Bosma, Wieb; van der Hulst, Marc-Paul
4
1990
Looking beyond XTR. Zbl 1065.94539
Bosma, Wieb; Hutton, James; Verheul, Eric R.
4
2002
Density computations for real quadratic units. Zbl 0859.11064
Bosma, Wieb; Stevenhagen, Peter
4
1996
On the computation of quadratic 2-class groups. Zbl 0870.11080
Bosma, Wieb; Stevenhagen, Peter
4
1996
Complex numbers with bounded partial quotients. Zbl 1284.11014
Bosma, Wieb; Gruenewald, David
3
2012
The aliquot constant. Zbl 1259.11088
Bosma, Wieb; Kane, Ben
3
2012
Approximation by mediants. Zbl 0697.10042
Bosma, Wieb
3
1990
Cubic reciprocity and explicit primality tests for \(h\cdot 3^k\pm1\). Zbl 1103.11039
Bosma, Wieb
3
2004
The triangular theorem of eight and representation by quadratic polynomials. Zbl 1281.11030
Bosma, Wieb; Kane, Ben
3
2013
Canonical bases for cyclotomic fields. Zbl 0741.11041
Bosma, Wieb
2
1990
Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2–7, 2000. Proceedings. Zbl 0960.00039
2
2000
Structural computation in finite permutation groups. Zbl 0770.20003
Bosma, Wieb; Cannon, John
2
1992
Lattices of compatibly embedded finite fields. Zbl 0895.11055
Bosma, Wieb; Cannon, John; Steel, Allan
2
1997
Ordering sequences by permutation transducers. Zbl 1353.05006
Bosma, Wieb; Zantema, Hans
2
2017
An implementation of the elliptic curve integer factorization method. Zbl 0830.11047
Bosma, Wieb; Lenstra, Arjen K.
1
1995
Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519
Bosma, Wieb; Stevenhagen, Peter
1
1994
Some computational experiments in number theory. Zbl 1151.11065
Bosma, Wieb
1
2006
Classifying non-periodic sequences by permutation transducers. Zbl 06791091
Zantema, Hans; Bosma, Wieb
1
2017
Aliquot sequences with small starting values. Zbl 1445.11004
Bosma, Wieb
1
2018
Aliquot sequences with small starting values. Zbl 1445.11004
Bosma, Wieb
1
2018
Ordering sequences by permutation transducers. Zbl 1353.05006
Bosma, Wieb; Zantema, Hans
2
2017
Classifying non-periodic sequences by permutation transducers. Zbl 06791091
Zantema, Hans; Bosma, Wieb
1
2017
Finding simultaneous Diophantine approximations with prescribed quality. Zbl 1344.11050
Bosma, Wieb; Smeets, Ionica
4
2013
The triangular theorem of eight and representation by quadratic polynomials. Zbl 1281.11030
Bosma, Wieb; Kane, Ben
3
2013
Complex numbers with bounded partial quotients. Zbl 1284.11014
Bosma, Wieb; Gruenewald, David
3
2012
The aliquot constant. Zbl 1259.11088
Bosma, Wieb; Kane, Ben
3
2012
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
6
2006
Entropy quotients and correct digits in number-theoretic expansions. Zbl 1128.11039
Bosma, Wieb; Dajani, Karma; Kraaikamp, Cor
6
2006
Some computational experiments in number theory. Zbl 1151.11065
Bosma, Wieb
1
2006
Cubic reciprocity and explicit primality tests for \(h\cdot 3^k\pm1\). Zbl 1103.11039
Bosma, Wieb
3
2004
On arithmetically equivalent number fields of small degree. Zbl 1068.11080
Bosma, Wieb; de Smit, Bart
5
2002
Looking beyond XTR. Zbl 1065.94539
Bosma, Wieb; Hutton, James; Verheul, Eric R.
4
2002
Signed bits and fast exponentiation. Zbl 1060.11082
Bosma, Wieb
11
2001
Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2–7, 2000. Proceedings. Zbl 0960.00039
2
2000
The Magma algebra system. I: The user language. Zbl 0898.68039
Bosma, Wieb; Cannon, John; Playoust, Catherine
1997
Lattices of compatibly embedded finite fields. Zbl 0895.11055
Bosma, Wieb; Cannon, John; Steel, Allan
2
1997
Density computations for real quadratic units. Zbl 0859.11064
Bosma, Wieb; Stevenhagen, Peter
4
1996
On the computation of quadratic 2-class groups. Zbl 0870.11080
Bosma, Wieb; Stevenhagen, Peter
4
1996
Computation of cyclotomic polynomials with Magma. Zbl 0854.11077
Bosma, Wieb
8
1995
Complete systems of two addition laws for elliptic curves. Zbl 0841.14027
Bosma, W.; Lenstra, H. W. jun.
8
1995
Some remarks on Lucas-based cryptosystems. Zbl 0877.94029
Bleichenbacher, Daniel; Bosma, Wieb; Lenstra, Arjen K.
8
1995
An implementation of the elliptic curve integer factorization method. Zbl 0830.11047
Bosma, Wieb; Lenstra, Arjen K.
1
1995
Programming with algebraic structures: Design of the Magma language. Zbl 0964.68595
Bosma, Wieb; Cannon, John; Matthews, Graham
51
1994
Density computations for real quadratic 2-class groups. (Abstract). Zbl 1071.11519
Bosma, Wieb; Stevenhagen, Peter
1
1994
Explicit primality criteria for \(h\cdot 2^ k \pm 1\). Zbl 0817.11060
Bosma, Wieb
9
1993
Structural computation in finite permutation groups. Zbl 0770.20003
Bosma, Wieb; Cannon, John
2
1992
Optimal approximation by continued fractions. Zbl 0731.11038
Bosma, Wieb; Kraaikamp, Cor
5
1991
Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088
Bosma, Wieb; Pohst, Michael
4
1991
Metrical theory for optimal continued fractions. Zbl 0697.10043
Bosma, Wieb; Kraaikamp, Cor
8
1990
Faster primality testing. Zbl 0734.68046
Bosma, Wieb; van der Hulst, Marc-Paul
4
1990
Approximation by mediants. Zbl 0697.10042
Bosma, Wieb
3
1990
Canonical bases for cyclotomic fields. Zbl 0741.11041
Bosma, Wieb
2
1990
Optimal continued fractions. Zbl 0638.10034
Bosma, Wieb
12
1987
Some metrical observations on the approximation by continued fractions. Zbl 0519.10043
Bosma, W.; Jager, H.; Wiedijk, F.
38
1983
all top 5

Cited by 2,600 Authors

62 Conder, Marston D. E.
48 O’Brien, Eamonn A.
46 Feng, Yanquan
43 Praeger, Cheryl Elisabeth
42 Zhou, Jinxin
35 Spiga, Pablo
29 Key, Jennifer D.
29 Leemans, Dimitri
27 Harada, Masaaki
24 Giudici, Michael
23 Rodrigues, Bernardo Gabriel
22 Burness, Timothy C.
21 Marušič, Dragan
21 Siksek, Samir
20 Kutnar, Klavdija
18 de Graaf, Willem Adriaan
18 Li, Caiheng
17 Hajdu, Lajos
17 Kemper, Gregor
17 Potočnik, Primož
17 Stoll, Michael
16 Bartoli, Daniele
16 Fisher, Tom A.
16 Lewis, Mark L.
16 Özbudak, Ferruh
16 Voight, John Michael
15 Flannery, Dane Laurence
15 Leedham-Green, Charles R.
14 Pan, Jiangmin
14 Xia, Binzhou
13 Crnković, Dean
13 Havas, George
13 Kraaikamp, Cor
13 Liebeck, Martin Walter
13 Nebe, Gabriele
13 Ulas, Maciej
13 Zhou, Shenglin
12 An, Jianbei
12 Fu, Fangwei
12 Gao, Jian
12 Holt, Derek F.
12 Kaya, Abidin
12 Rowley, Peter J.
12 Tengely, Szabolcs
12 Yildiz, Bahattin
11 Brooksbank, Peter A.
11 Cremona, John E.
11 Dietrich, Heiko
11 Grassl, Markus
11 Guralnick, Robert Michael
11 Kovács, István
11 Ling, Bo
11 Malnič, Aleksander
11 Moori, Jamshid
11 Müller, Jan Steffen
11 Roney-Dougal, Colva M.
11 Rouse, Jeremy A.
11 Schost, Éric
11 Shank, R. James
11 Solé, Patrick
11 Šparl, Primož
11 Steinwandt, Rainer
11 Wehlau, David Louis
10 Artebani, Michela
10 Faugère, Jean-Charles
10 Fish, Washiela
10 Glasby, Stephen Peter
10 Luca, Florian
10 Mwambene, Eric
9 Balakrishnan, Jennifer S.
9 Bennett, Michael A.
9 Danz, Susanne
9 Devillers, Alice
9 Elsenhans, Andreas-Stephan
9 Güneri, Cem
9 Guo, Songtao
9 Kirschmer, Markus
9 Lou, Bengong
9 Montanucci, Maria
9 Munemasa, Akihiro
9 Newman, Mike Frederick
9 Širáň, Jozef
9 Sonnino, Angelo
9 Várilly-Alvarado, Anthony
9 Yang, Dawei
8 Bamberg, John
8 Bremner, Andrew
8 Brown, Gavin Dennis
8 Bujalance, Emilio
8 Cannon, John J.
8 Egan, Ronan
8 Fernandes, Maria Elisa
8 Freitas, Nuno
8 Guest, Simon D.
8 Jahnel, Jörg
8 Kida, Masanari
8 Laface, Antonio
8 Marcugini, Stefano
8 Mignotte, Maurice
8 Morgan, Luke
...and 2,500 more Authors
all top 5

Cited in 288 Serials

230 Journal of Algebra
121 Journal of Symbolic Computation
116 Journal of Number Theory
99 Designs, Codes and Cryptography
91 Mathematics of Computation
85 Discrete Mathematics
72 Finite Fields and their Applications
56 International Journal of Number Theory
55 LMS Journal of Computation and Mathematics
54 Transactions of the American Mathematical Society
48 Journal of Algebraic Combinatorics
41 Journal of Pure and Applied Algebra
39 Communications in Algebra
39 European Journal of Combinatorics
39 Journal de Théorie des Nombres de Bordeaux
36 Journal of Combinatorial Theory. Series A
35 Experimental Mathematics
32 Acta Arithmetica
31 Advances in Mathematics of Communications
29 Proceedings of the American Mathematical Society
27 Journal of Combinatorial Theory. Series B
27 Graphs and Combinatorics
27 Applicable Algebra in Engineering, Communication and Computing
26 International Journal of Algebra and Computation
26 Journal of Algebra and its Applications
25 Advances in Mathematics
25 The Electronic Journal of Combinatorics
25 Journal of Group Theory
23 Cryptography and Communications
22 Mathematische Zeitschrift
21 Archiv der Mathematik
20 Israel Journal of Mathematics
19 Research in Number Theory
18 Bulletin of the Australian Mathematical Society
18 Journal of the Australian Mathematical Society
16 Discrete Applied Mathematics
16 Ars Mathematica Contemporanea
15 Periodica Mathematica Hungarica
14 The Ramanujan Journal
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Journal of Algebra, Combinatorics, Discrete Structures and Applications
12 Rocky Mountain Journal of Mathematics
12 Compositio Mathematica
12 Monatshefte für Mathematik
11 Mathematics in Computer Science
11 Journal of Mathematical Cryptology
10 Journal of Geometry
10 Journal of Cryptology
10 Linear Algebra and its Applications
10 Science China. Mathematics
9 Journal of Graph Theory
9 Forum of Mathematics, Sigma
8 Applied Mathematics and Computation
8 Duke Mathematical Journal
8 Journal of the London Mathematical Society. Second Series
8 Manuscripta Mathematica
8 Theoretical Computer Science
8 Transformation Groups
7 Indian Journal of Pure & Applied Mathematics
7 Journal of Computational and Applied Mathematics
7 Journal für die Reine und Angewandte Mathematik
7 Mathematische Annalen
7 Proceedings of the Edinburgh Mathematical Society. Series II
7 Proceedings of the Japan Academy. Series A
7 Discrete & Computational Geometry
7 Indagationes Mathematicae. New Series
7 Journal of Combinatorial Designs
7 Journal of the European Mathematical Society (JEMS)
6 Information Processing Letters
6 Annales de l’Institut Fourier
6 Algebras and Representation Theory
6 Integers
6 Advances in Geometry
6 Algebra & Number Theory
6 SIAM Journal on Applied Algebra and Geometry
5 Journal of Mathematical Physics
5 Beiträge zur Algebra und Geometrie
5 Geometriae Dedicata
5 Glasgow Mathematical Journal
5 Journal of Complexity
5 International Journal of Computer Mathematics
5 Algebra Colloquium
5 Selecta Mathematica. New Series
5 Acta Mathematica Sinica. English Series
5 Journal of High Energy Physics
5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
5 International Journal of Group Theory
5 European Journal of Mathematics
4 Bulletin of the London Mathematical Society
4 Functiones et Approximatio. Commentarii Mathematici
4 Journal of the Mathematical Society of Japan
4 Memoirs of the American Mathematical Society
4 Nagoya Mathematical Journal
4 Advances in Applied Mathematics
4 Japan Journal of Industrial and Applied Mathematics
4 Journal of Mathematical Sciences (New York)
4 Representation Theory
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Applied Mathematics and Computing
4 Discrete Mathematics, Algorithms and Applications
...and 188 more Serials
all top 5

Cited in 51 Fields

943 Number theory (11-XX)
784 Group theory and generalizations (20-XX)
524 Combinatorics (05-XX)
485 Algebraic geometry (14-XX)
418 Information and communication theory, circuits (94-XX)
204 Computer science (68-XX)
149 Commutative algebra (13-XX)
115 Geometry (51-XX)
94 Associative rings and algebras (16-XX)
84 Field theory and polynomials (12-XX)
59 Nonassociative rings and algebras (17-XX)
56 Convex and discrete geometry (52-XX)
51 Dynamical systems and ergodic theory (37-XX)
51 Manifolds and cell complexes (57-XX)
44 Quantum theory (81-XX)
41 Functions of a complex variable (30-XX)
36 Linear and multilinear algebra; matrix theory (15-XX)
21 Topological groups, Lie groups (22-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
19 Numerical analysis (65-XX)
16 Measure and integration (28-XX)
14 Category theory; homological algebra (18-XX)
14 Several complex variables and analytic spaces (32-XX)
14 Special functions (33-XX)
11 Biology and other natural sciences (92-XX)
10 Algebraic topology (55-XX)
10 Probability theory and stochastic processes (60-XX)
9 Functional analysis (46-XX)
8 \(K\)-theory (19-XX)
8 Differential geometry (53-XX)
8 Global analysis, analysis on manifolds (58-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Ordinary differential equations (34-XX)
5 Operations research, mathematical programming (90-XX)
4 History and biography (01-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Mathematical logic and foundations (03-XX)
3 Partial differential equations (35-XX)
3 Mechanics of particles and systems (70-XX)
3 Fluid mechanics (76-XX)
3 Relativity and gravitational theory (83-XX)
2 Approximations and expansions (41-XX)
2 Statistics (62-XX)
2 Mathematics education (97-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)

Citations by Year