- Wieb Bosma, Henk Don
Constructing morphisms for arithmetic subsequences of Fibonacci
in: Venanzio Capretta, Robert Krebbers, Freek Wiedijk (Eds.),
Logics and Type Systems in Theory and Practice,
Essays dedicated
to Herman Geuvers on the occasion of his 60th birthday,
LNCS 14560, 2024, pp. 100--110.
- Hans Zantema, Wieb Bosma
Complexity of Automatic Sequences
Information and Computation 288 (2022).
- Wieb Bosma, Michel Dekking, Wolfgang Steiner
A remarkable integer sequence related to pi and sqrt(2),
Integers 18A, Special volume in honor of Jeffrey Shallit on the occasion of his 60th birthday (2018), #A4 1--9.
- Wieb Bosma
Aliquot sequences with small starting values,
Integers 18 (2018), #A75 1--21.
Preprint versions:
Aliquot sequences with small starting values,
April 2016; replacing
Aliquot sequences with small starting values,
preprint, December 2014.
- Wieb Bosma, Hans Zantema
Classifying non-periodic sequences by permutation transducers,
Proceedings of 21st International Conference, Developments in Language Theory (DLT), Luik, August 7--11, 2017, Lecture Notes in Computer Science10396 (2017), 365--377;
also online journal version.
- Wieb Bosma, Hans Zantema
Ordering sequences by permutation transducers,
Indagationes Mathematicae 28 (2017), 38--54;
also online journal version of December 2016.
- Wieb Bosma, Robbert Fokkink, Thijmen Krebs
On automatic subsets of the Gaussian integers,
Indagationes Mathematicae 28 (2017), 32--37;
also online journal version of December 2016.
preprint version:
On Cobham's theorem for Gaussian integers,
June 2014.
- W. Bosma, E. Cator, A. Járai, Gy. Kiss
Primality proofs with elliptic curves: Heuristics and analysis,
Ann. Univ. Sci. Budapest., Sect. Comput, 44 (2015), 3--27.
preprint version:
Primality proofs with elliptic curves: heuristics and analysis,
September 2014.
See also the preprint:
Wieb Bosma, Antal Jarai, Gyongyver Kiss,
Better paths for elliptic primality proofs
Report 0902, Mathematics Department, Radboud University Nijmegen, 2009.
- Wieb Bosma, Ionica Smeets
Finding simultaneous Diophantine approximations with prescribed quality
in: Everett W. Howe and Kiran S. Kedlaya (eds), ANTS X:
Proceedings of the Tenth Algorithmic Number Theory Symposium
2012, Berkeley: MSP,
The Open Book Series 1, 2013
(DOI: 10.2140/obs.2013.1.167).
Preprint version: on arXiv
- Wieb Bosma, David Gruenewald
preprint
and
published version
of Complex numbers
with bounded partial quotients, Journal of the Australian Mathematical Society, 93-1/2 pp. 9--20 (2012), issue dedicated to the memory of Alf van der Poorten. First published online 16 April 2013.
- Wieb Bosma, Ben Kane
preprint and
published version of The triangular theorem of eight, Proceedings of the American Mathematical Society 141-5 (2013), 1473--1486; published online September 2012.
- Wieb Bosma, Ben Kane
preprint and
published version of The aliquot constant,
The quarterly journal of mathematics, 63 (2), 2012, 309--323; published online December 23, 2010.
- Wieb Bosma
Some computational experiments in number theory
in:
Wieb Bosma, John Cannon (eds),
Discovering Mathematics with Magma,
Algorithms and Computation in Mathematics 19,
Berlin: Springer Verlag, 2006
pp. 1-30
- Wieb Bosma, Karma Dajani, Cor Kraaikamp
Entropy quotients and correct digits in number-theoretic expansions
in: IMS Lecture Notes--Monograph Series 48,
Dynamics and Stochastics, 2006
pp. 176-188.
- Wieb Bosma,
Cubic reciprocity and explicit primality tests for h3^k+-1
in: Alf van der Poorten, Andreas Stein (eds.), High primes and
misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams,
Fields Inst. Commun., 41, Providence: Amer. Math. Soc. 2004
pp. 77--89
extended preprint version:
Cubic reciprocity and explicit primality tests for h3^k+-1
Department of Mathematics, Universiteit van Nijmegen, report 05.15, 2005, pp. 1--19
- Wieb Bosma, James Hutton, Eric R. Verheul
Looking beyond XTR
in: Y. Zheng (ed.),
Advances in Cryptology ASIACRYPT 2002, 8th International Conference on the Theory and Application of Cryptology and Information Security, Queenstown,
New Zealand, December 1-5, 2002, Proceedings;
Lecture Notes in Computer Science 2501, Springer, 2002
pp. 46--63
- Wieb Bosma, Bart de Smit
On arithmetically equivalent number
fields of small degree
in: Claus Fieker, David R. Kohel (eds.),
Proceedings of the 5th Algorithmic Number Theory Symposium,
Sydney, Australia, July 2002; Lecture Notes in Computer Science
2369 Springer 2002
pp. 67--79
- Wieb Bosma
Signed bits and fast exponentiation
Journal de Théorie des Nombres de Bordeaux,
13 (2001), 27--41.
MR2002e:11184
preprint version:
Signed bits and fast exponentiation
Department of Mathematics, Universiteit van Nijmegen, report 9935, 1999, pp. 1--15
- Wieb Bosma, Bart de Smit
Class number relations from a computational point of view
Journal of Symbolic Computation 31 (2001), 97--112.
MR2002a:11144
- Wieb Bosma, John Cannon, Allan Steel
Lattices of compatibly embedded finite fields
Journal of Symbolic Computation 24} (1997), 351--369.
MR99a:11143
- Wieb Bosma, John Cannon, Catherine Playoust
The Magma Algebra System I: The User Language
Journal of Symbolic Computation 24 (1997), 235--265
MR 99a:11143
- Wieb Bosma, Peter Stevenhagen
On the computation of quadratic 2-class groups
Journal de Théorie des Nombres de Bordeaux8 (1996), 283--313
MR 98e:11129a
Erratum:
Journal de Théorie des Nombres 9 (1997), 1
MR 98e:11129b
- Wieb Bosma, P. Stevenhagen
Density computations for real quadratic units
Math. Comp. 65 (1996), 1327--1337.
MR 96j:11171
- D. Bleichenbacher, W. Bosma, A.K. Lenstra
Some remarks on Lucas-based cryptosystems
in: Don Coppersmith (ed.), Advances in Cryptology
Proceedings of Crypto'95, Lecture Notes in Computer Science
963, Springer 1995
pp. 386--396
MR 97m:94012
- Wieb Bosma
Computation of cyclotomic polynomials with Magma
pp. 213--226 in [A1], 1995.
MR 96j:11142
- Wieb Bosma, A.K. Lenstra
An implementation of the elliptic curve integer
factorization method, pp. 119--136 in [A1], 1995.
MR 96d11134
- Wieb Bosma, H.W. Lenstra, Jr.
Complete systems of two addition laws for elliptic curves
J. Number Theory 53 (1995), 229--240.
MR 96f:11079
- Wieb Bosma, P. Stevenhagen
Density computations for real quadratic 2-class groups
abstract, in: L.M. Adleman, Ming-Deh Huang, Proceedings of the First
Algorithmic Number Theory Symposium, Ithaca, New York, 1994
pp. 17.
MR1322706
- Wieb Bosma, Graham Matthews, John Cannon
Programming with algebraic structures: design of the Magma language
in: M. Giesbrecht (ed), Proceedings of International
Symposium on Symbolic and Algebraic Computation, Oxford (1994)
Association for Computing Machinery, 1994
pp. 52--57
- Wieb Bosma
Explicit primality criteria for h2^k+-1}
Math. Comp. 61 (D.H. Lehmer memorial issue) (1993), 97--109
MR 94c:11005
- Wieb Bosma, John Cannon
Structural Computation in Finite Permutation Groups
CWI-Quarterly, 5, 2, (1992), 127--160
MR 93i:20003
- Wieb Bosma, M. Pohst
Computations with finitely generated modules over Dedekind
domains
in: S.M. Watt (ed), Proceedings of the International
Symposium on Symbolic and Algebraic Computation, Bonn (1991),
Association for Computing Machinery 1991
pp. 151--156
- Wieb Bosma, Cor Kraaikamp
Optimal approximation by continued fractions
J. Austral. Math. Soc. (Series A), 50 (1991), 481--504
MR 92f:11093
- Wieb Bosma
Canonical bases for cyclotomic fields
Applicable Algebra in
Engineering, Communication and Computing 1 (1990), 125--134
MR 95k:11135
- Wieb Bosma, Cor Kraaikamp
Metrical theory for optimal continued fractions
J. Number Theory 34 (1990), 251--270
MR 91d:11095
- Wieb Bosma, M.P.M. van der Hulst
Faster primality testing
in: G. Goos, J. Hartmanis (eds),
Advances in cryptology EUROCRYPT '89, Lecture Notes in Computer Science
434, Berlin: Springer 1990
pp. 652--656
- Wieb Bosma
Approximation by mediants
Math. Comp. 54 (1990), 421--434
MR 90m: 11119
- Wieb Bosma
Notes on primality testing and factoring
Prépublication 89-32 (1989), Laboratoire de Mathématiques Marseille.
- Wieb Bosma
Optimal continued fractions
Indag. Math.
49 (1987), 353--379
MR 89b: 40001
- Wieb Bosma, H. Jager and F. Wiedijk
Some metrical observations on the approximation by
continued fractions
Indag. Math. 45 (1983), 281--299
MR 85f:11059
- Wieb Bosma
Primality testing with elliptic curves
Doctoraalscriptie
Report 85--12, Department of Mathematics,
University of Amsterdam 1985.