×
Author ID: bosma.wieb Recent zbMATH articles by "Bosma, Wieb"
Published as: Bosma, Wieb; Bosma, W.

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 3,420 times in 3,353 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
71
1994
Some metrical observations on the approximation by continued fractions. Zbl 0519.10043
Bosma, W.; Jager, H.; Wiedijk, F.
39
1983
Complete systems of two addition laws for elliptic curves. Zbl 0841.14027
Bosma, W.; Lenstra, H. W. jun.
19
1995
On the computation of quadratic 2-class groups. Zbl 0870.11080
Bosma, Wieb; Stevenhagen, Peter
15
1996
Signed bits and fast exponentiation. Zbl 1060.11082
Bosma, Wieb
14
2001
Optimal continued fractions. Zbl 0638.10034
Bosma, Wieb
12
1987
The triangular theorem of eight and representation by quadratic polynomials. Zbl 1281.11030
Bosma, Wieb; Kane, Ben
10
2013
Explicit primality criteria for \(h\cdot 2^ k \pm 1\). Zbl 0817.11060
Bosma, Wieb
10
1993
Some remarks on Lucas-based cryptosystems. Zbl 0877.94029
Bleichenbacher, Daniel; Bosma, Wieb; Lenstra, Arjen K.
9
1995
Computation of cyclotomic polynomials with Magma. Zbl 0854.11077
Bosma, Wieb
9
1995
On arithmetically equivalent number fields of small degree. Zbl 1068.11080
Bosma, Wieb; de Smit, Bart
9
2002
Metrical theory for optimal continued fractions. Zbl 0697.10043
Bosma, Wieb; Kraaikamp, Cor
8
1990
Entropy quotients and correct digits in number-theoretic expansions. Zbl 1128.11039
Bosma, Wieb; Dajani, Karma; Kraaikamp, Cor
8
2006
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
8
2006
Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088
Bosma, Wieb; Pohst, Michael
6
1991
Density computations for real quadratic units. Zbl 0859.11064
Bosma, Wieb; Stevenhagen, Peter
5
1996
Lattices of compatibly embedded finite fields. Zbl 0895.11055
Bosma, Wieb; Cannon, John; Steel, Allan
5
1997
Optimal approximation by continued fractions. Zbl 0731.11038
Bosma, Wieb; Kraaikamp, Cor
5
1991
Faster primality testing. Zbl 0734.68046
Bosma, Wieb; van der Hulst, Marc-Paul
5
1990
Looking beyond XTR. Zbl 1065.94539
Bosma, Wieb; Hutton, James; Verheul, Eric R.
5
2002
Complex numbers with bounded partial quotients. Zbl 1284.11014
Bosma, Wieb; Gruenewald, David
5
2012
Finding simultaneous Diophantine approximations with prescribed quality. Zbl 1344.11050
Bosma, Wieb; Smeets, Ionica
5
2013
Cubic reciprocity and explicit primality tests for \(h\cdot 3^k\pm1\). Zbl 1103.11039
Bosma, Wieb
4
2004
The aliquot constant. Zbl 1259.11088
Bosma, Wieb; Kane, Ben
4
2012
Canonical bases for cyclotomic fields. Zbl 0741.11041
Bosma, Wieb
3
1990
Approximation by mediants. Zbl 0697.10042
Bosma, Wieb
3
1990
Class number relations from a computational point of view. Zbl 0982.11073
Bosma, Wieb; de Smit, Bart
2
2001
Algorithmic number theory. 4th international symposium. ANTS-IV, Leiden, the Netherlands, July 2–7, 2000. Proceedings. Zbl 0960.00039
2
2000
Ordering sequences by permutation transducers. Zbl 1353.05006
Bosma, Wieb; Zantema, Hans
2
2017
Structural computation in finite permutation groups. Zbl 0770.20003
Bosma, Wieb; Cannon, John
2
1992
Complexity of automatic sequences. Zbl 07601275
Zantema, Hans; Bosma, Wieb
2
2022
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
Primality proofs with elliptic curves: heuristics and analysis. Zbl 1389.11149
Cator, Eric; Bosma, Wieb; Járai, Antal; Kiss, Gyöngyver
1
2015
Some computational experiments in number theory. Zbl 1151.11065
Bosma, Wieb
1
2006
Aliquot sequences with small starting values. Zbl 1445.11004
Bosma, Wieb
1
2018
Classifying non-periodic sequences by permutation transducers. Zbl 1494.68152
Zantema, Hans; Bosma, Wieb
1
2017
Complexity of automatic sequences. Zbl 07601275
Zantema, Hans; Bosma, Wieb
2
2022
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 1494.68152
Zantema, Hans; Bosma, Wieb
1
2017
Primality proofs with elliptic curves: heuristics and analysis. Zbl 1389.11149
Cator, Eric; Bosma, Wieb; Járai, Antal; Kiss, Gyöngyver
1
2015
The triangular theorem of eight and representation by quadratic polynomials. Zbl 1281.11030
Bosma, Wieb; Kane, Ben
10
2013
Finding simultaneous Diophantine approximations with prescribed quality. Zbl 1344.11050
Bosma, Wieb; Smeets, Ionica
5
2013
Complex numbers with bounded partial quotients. Zbl 1284.11014
Bosma, Wieb; Gruenewald, David
5
2012
The aliquot constant. Zbl 1259.11088
Bosma, Wieb; Kane, Ben
4
2012
Entropy quotients and correct digits in number-theoretic expansions. Zbl 1128.11039
Bosma, Wieb; Dajani, Karma; Kraaikamp, Cor
8
2006
Discovering mathematics with Magma. Reducing the abstract to the concrete. Zbl 1104.11002
8
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
4
2004
On arithmetically equivalent number fields of small degree. Zbl 1068.11080
Bosma, Wieb; de Smit, Bart
9
2002
Looking beyond XTR. Zbl 1065.94539
Bosma, Wieb; Hutton, James; Verheul, Eric R.
5
2002
Signed bits and fast exponentiation. Zbl 1060.11082
Bosma, Wieb
14
2001
Class number relations from a computational point of view. Zbl 0982.11073
Bosma, Wieb; de Smit, Bart
2
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
5
1997
On the computation of quadratic 2-class groups. Zbl 0870.11080
Bosma, Wieb; Stevenhagen, Peter
15
1996
Density computations for real quadratic units. Zbl 0859.11064
Bosma, Wieb; Stevenhagen, Peter
5
1996
Complete systems of two addition laws for elliptic curves. Zbl 0841.14027
Bosma, W.; Lenstra, H. W. jun.
19
1995
Some remarks on Lucas-based cryptosystems. Zbl 0877.94029
Bleichenbacher, Daniel; Bosma, Wieb; Lenstra, Arjen K.
9
1995
Computation of cyclotomic polynomials with Magma. Zbl 0854.11077
Bosma, Wieb
9
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
71
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
10
1993
Structural computation in finite permutation groups. Zbl 0770.20003
Bosma, Wieb; Cannon, John
2
1992
Computations with finitely generated modules over Dedekind rings. Zbl 0930.11088
Bosma, Wieb; Pohst, Michael
6
1991
Optimal approximation by continued fractions. Zbl 0731.11038
Bosma, Wieb; Kraaikamp, Cor
5
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
5
1990
Canonical bases for cyclotomic fields. Zbl 0741.11041
Bosma, Wieb
3
1990
Approximation by mediants. Zbl 0697.10042
Bosma, Wieb
3
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.
39
1983
all top 5

Cited by 3,293 Authors

73 Conder, Marston Donald Edward
58 Zhou, Jinxin
56 Feng, Yanquan
52 O’Brien, Eamonn A.
49 Praeger, Cheryl Elisabeth
42 Spiga, Pablo
34 Leemans, Dimitri
33 Burness, Timothy C.
33 Harada, Masaaki
31 Key, Jennifer D.
30 Siksek, Samir
29 Rodrigues, Bernardo Gabriel
28 Giudici, Michael
27 Voight, John Michael
24 Kutnar, Klavdija
24 Özbudak, Ferruh
23 Gao, Jian
23 Marušič, Dragan
22 Stoll, Michael
21 Fu, Fangwei
21 Xia, Binzhou
20 Crnković, Dean
20 Li, Caiheng
20 Pan, Jiangmin
20 Potočnik, Primož
19 Bartoli, Daniele
19 Fisher, Tom A.
19 Hajdu, Lajos
18 de Graaf, Willem Adriaan
18 Lewis, Mark L.
18 Zhou, Shenglin
17 Kemper, Gregor
16 Devillers, Alice
16 Holt, Derek F.
16 Nebe, Gabriele
15 Flannery, Dane Laurence
15 Kaya, Abidin
15 Korban, Adrian
15 Leedham-Green, Charles R.
15 Rouse, Jeremy A.
15 Rowley, Peter J.
15 Solé, Patrick
15 Švob, Andrea
14 Castryck, Wouter
14 Grassl, Markus
14 Liebeck, Martin Walter
14 Moori, Jamshid
14 Roney-Dougal, Colva M.
14 Šparl, Primož
13 Balakrishnan, Jennifer S.
13 Bennett, Michael A.
13 Elsenhans, Andreas-Stephan
13 Freitas, Nuno
13 Guralnick, Robert Michael
13 Havas, George
13 Kovács, István
13 Kraaikamp, Cor
13 Laface, Antonio
13 Tengely, Szabolcs
13 Ulas, Maciej
13 Wehlau, David Louis
13 Yildiz, Bahattin
13 Yin, Fugang
12 An, Jianbei
12 Brooksbank, Peter A.
12 Cremona, John E.
12 Glasby, Stephen Peter
12 Kida, Masanari
12 Ling, Bo
12 Marcugini, Stefano
12 Morgan, Luke
12 Müller, Jan Steffen
12 Pambianco, Fernanda
12 Reid, Alan W.
12 Schost, Éric
12 Soydan, Gokhan
12 Steinwandt, Rainer
11 Dietrich, Heiko
11 Fish, Washiela
11 Güneri, Cem
11 Jahnel, Jörg
11 Kudo, Momonari
11 Luca, Florian
11 Lucchini, Andrea
11 Malnič, Aleksander
11 Munemasa, Akihiro
11 Mwambene, Eric
11 Shank, R. James
11 Yang, Dawei
11 Zywina, David
10 Artebani, Michela
10 Bamberg, John
10 Bremner, Andrew
10 Dembélé, Lassina
10 Egan, Ronan
10 Faugère, Jean-Charles
10 Gildea, Joe
10 Guo, Songtao
10 Hofmann, Tommy
10 Kirschmer, Markus
...and 3,193 more Authors
all top 5

Cited in 333 Serials

264 Journal of Algebra
134 Journal of Number Theory
132 Journal of Symbolic Computation
116 Discrete Mathematics
116 Designs, Codes and Cryptography
104 Mathematics of Computation
92 Finite Fields and their Applications
69 International Journal of Number Theory
64 Journal of Algebraic Combinatorics
57 Transactions of the American Mathematical Society
55 LMS Journal of Computation and Mathematics
52 Journal of Pure and Applied Algebra
48 Communications in Algebra
45 Journal de Théorie des Nombres de Bordeaux
44 Experimental Mathematics
44 Research in Number Theory
43 Journal of Combinatorial Theory. Series A
42 Acta Arithmetica
41 European Journal of Combinatorics
40 Advances in Mathematics of Communications
37 Journal of Group Theory
35 Cryptography and Communications
34 Proceedings of the American Mathematical Society
33 Applicable Algebra in Engineering, Communication and Computing
32 Advances in Mathematics
32 Journal of Combinatorial Theory. Series B
31 Journal of Algebra and its Applications
30 Mathematische Zeitschrift
30 Graphs and Combinatorics
30 The Electronic Journal of Combinatorics
28 International Journal of Algebra and Computation
25 Bulletin of the Australian Mathematical Society
24 Journal of the London Mathematical Society. Second Series
23 Israel Journal of Mathematics
22 Archiv der Mathematik
21 Algebra & Number Theory
20 Quantum Information Processing
20 Ars Mathematica Contemporanea
19 Journal of the Australian Mathematical Society
18 Periodica Mathematica Hungarica
17 Discrete Applied Mathematics
17 Bulletin of the London Mathematical Society
17 The Ramanujan Journal
16 Mathematical Proceedings of the Cambridge Philosophical Society
16 Forum of Mathematics, Sigma
14 Rocky Mountain Journal of Mathematics
14 Journal of Graph Theory
14 Monatshefte für Mathematik
14 Journal of Algebra, Combinatorics, Discrete Structures and Applications
13 Compositio Mathematica
13 Journal of Geometry
13 Journal of Cryptology
13 Mathematics in Computer Science
12 Applied Mathematics and Computation
11 Indian Journal of Pure & Applied Mathematics
11 Linear Algebra and its Applications
11 Journal of Combinatorial Designs
11 Journal of Mathematical Cryptology
10 Indagationes Mathematicae. New Series
10 Transformation Groups
10 Journal of Applied Mathematics and Computing
10 Science China. Mathematics
10 SIAM Journal on Applied Algebra and Geometry
9 Duke Mathematical Journal
9 Journal für die Reine und Angewandte Mathematik
9 Manuscripta Mathematica
9 Mathematische Annalen
9 Integers
8 Annales de l’Institut Fourier
8 Glasgow Mathematical Journal
8 Proceedings of the Japan Academy. Series A
8 Theoretical Computer Science
8 Expositiones Mathematicae
8 Journal of High Energy Physics
8 Advances in Geometry
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8 International Journal of Group Theory
7 Journal of Computational and Applied Mathematics
7 Pacific Journal of Mathematics
7 Proceedings of the Edinburgh Mathematical Society. Series II
7 Discrete & Computational Geometry
7 Revista Matemática Iberoamericana
7 Turkish Journal of Mathematics
7 Selecta Mathematica. New Series
7 Algebras and Representation Theory
7 Journal of the European Mathematical Society (JEMS)
7 Mediterranean Journal of Mathematics
7 Involve
7 European Journal of Mathematics
7 The Art of Discrete and Applied Mathematics
6 International Journal of Theoretical Physics
6 Information Processing Letters
6 Journal of Mathematical Physics
6 Beiträge zur Algebra und Geometrie
6 Canadian Mathematical Bulletin
6 Functiones et Approximatio. Commentarii Mathematici
6 Geometriae Dedicata
6 Journal of the Mathematical Society of Japan
6 Memoirs of the American Mathematical Society
6 Journal of Complexity
...and 233 more Serials
all top 5

Cited in 52 Fields

1,298 Number theory (11-XX)
995 Group theory and generalizations (20-XX)
683 Algebraic geometry (14-XX)
680 Combinatorics (05-XX)
590 Information and communication theory, circuits (94-XX)
236 Computer science (68-XX)
171 Commutative algebra (13-XX)
144 Geometry (51-XX)
126 Associative rings and algebras (16-XX)
109 Field theory and polynomials (12-XX)
97 Quantum theory (81-XX)
77 Nonassociative rings and algebras (17-XX)
73 Manifolds and cell complexes (57-XX)
72 Convex and discrete geometry (52-XX)
63 Dynamical systems and ergodic theory (37-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
45 Functions of a complex variable (30-XX)
23 Topological groups, Lie groups (22-XX)
22 Order, lattices, ordered algebraic structures (06-XX)
22 Numerical analysis (65-XX)
19 Algebraic topology (55-XX)
17 Measure and integration (28-XX)
16 Category theory; homological algebra (18-XX)
16 Several complex variables and analytic spaces (32-XX)
16 Special functions (33-XX)
13 Probability theory and stochastic processes (60-XX)
12 Differential geometry (53-XX)
11 Biology and other natural sciences (92-XX)
10 Functional analysis (46-XX)
9 \(K\)-theory (19-XX)
9 Global analysis, analysis on manifolds (58-XX)
7 Operations research, mathematical programming (90-XX)
6 Ordinary differential equations (34-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Approximations and expansions (41-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 History and biography (01-XX)
4 Mathematical logic and foundations (03-XX)
4 Statistics (62-XX)
4 Relativity and gravitational theory (83-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Partial differential equations (35-XX)
3 Mechanics of particles and systems (70-XX)
3 Fluid mechanics (76-XX)
3 Mathematics education (97-XX)
2 General and overarching topics; collections (00-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