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## Bosma, Wieb

Compute Distance To:
 Author ID: bosma.wieb Published as: Bosma, Wieb; Bosma, W.
 Documents Indexed: 39 Publications since 1983 4 Contributions as Editor
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#### Co-Authors

 12 single-authored 5 Cannon, John J. 3 Kraaikamp, Cor 3 Stevenhagen, Peter 2 de Smit, Bart 2 Kane, Ben 2 Lenstra, Arjen K. 2 Zantema, Hans 1 Bleichenbacher, Daniel 1 Cator, Eric A. 1 Dajani, Karma 1 Dekking, Frederik Michel 1 Fokkink, Robbert Johan 1 Gruenewald, David 1 Hutton, James P. 1 Jager, Hendrik 1 Járai, Antal jun. 1 Kiss, Gyöngyvér 1 Krebs, Thijmen J. P. 1 Lenstra, Hendrik W. jun. 1 Matthews, Graham 1 Playoust, Catherine 1 Pohst, Michael E. 1 Smeets, Ionica 1 Steel, Allan K. 1 Top, Jaap 1 van der Hulst, Marc-Paul 1 van der Poorten, Alfred J. 1 Verheul, Eric R. 1 Wiedijk, Freek
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#### Serials

 4 Journal of Symbolic Computation 3 Mathematics of Computation 2 Indagationes Mathematicae 2 Journal of Number Theory 2 Indagationes Mathematicae. New Series 2 Journal de Théorie des Nombres de Bordeaux 2 Integers 2 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Proceedings of the American Mathematical Society 1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Computatorica 1 CWI Quarterly 1 Journal of the Australian Mathematical Society. Series A 1 Applicable Algebra in Engineering, Communication and Computing 1 The Quarterly Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Lecture Notes in Computer Science 1 Mathematics and its Applications (Dordrecht) 1 Algorithms and Computation in Mathematics
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#### Fields

 37 Number theory (11-XX) 14 Computer science (68-XX) 5 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX)

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