- 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.