• 964 Citations
1986 …2019

Research output per year

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Article
2017

Binomial collisions and near collisions

Blokhuis, A., Brouwer, A. E. & de Weger, B. M. M., 2017, In : Integers : Electronic Journal of Combinatorial Number Theory. 17, 2, p. 1-8 #A64.

Research output: Contribution to journalArticleAcademicpeer-review

5 Downloads (Pure)
2014

A generalized Ramanujan-Nagell equation related to certain strongly regular graphs

Weger, de, B. M. M., 2014, In : Integers : Electronic Journal of Combinatorial Number Theory. 14, p. A35/1-13 13 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
42 Downloads (Pure)

Data minimisation in communication protocols : a formal analysis framework and application to identity management

Veeningen, M. G., Weger, de, B. M. M. & Zannone, N., 2014, In : International Journal of Information Security. 13, 6, p. 529-569 41 p.

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)
2 Downloads (Pure)

Het 3n+1-vermoeden

Weger, de, B. M. M., 2014, In : Nieuw Archief voor Wiskunde. 5/15, 1, p. 40-50 11 p.

Research output: Contribution to journalArticleProfessional

Open Access
File
86 Downloads (Pure)

Optimal symmetric Tardos traitor tracing schemes

Laarhoven, T. M. M. & Weger, de, B. M. M., 2014, In : Designs, Codes and Cryptography. 71, 1, p. 83-103 21 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
8 Citations (Scopus)
67 Downloads (Pure)
2013

Dynamic Tardos traitor tracing schemes

Laarhoven, T. M. M., Doumen, J., Roelse, P., Skoric, B. & Weger, de, B. M. M., 2013, In : IEEE Transactions on Information Theory. 59, 7, p. 4230-4242

Research output: Contribution to journalArticleAcademicpeer-review

21 Citations (Scopus)

The Collatz conjecture and De Bruijn graphs

Laarhoven, T. M. M. & Weger, de, B. M. M., 2013, In : Indagationes Mathematicae. New Series. 24, 4, p. 971-983 13 p.

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)
2012

Chosen-prefix collisions for MD5 and applications

Stevens, M. M. J., Lenstra, A. K. & Weger, de, B. M. M., 2012, In : International Journal of Applied Cryptography. 2, 4, p. 322-359

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)
2011

Some Diophantine equations from finite group theory: $\Phi_m (x) = 2p^n -1$

Luca, F., Moree, P. & Weger, de, B. M. M., 2011, In : Publicationes Mathematicae. Institutum Mathematicum Universitatis Debreceniensis. 78, 2, p. 377-392

Research output: Contribution to journalArticleAcademicpeer-review

2010

$ \sigma_k(F_m) = F_n $

Luca, F. & Weger, de, B. M. M., 2010, In : New Zealand Journal of Mathematics. 40, p. 1-13

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
36 Downloads (Pure)
2009

Zwakke sleutels bij het RSA-cryptosysteem, deel 1

Weger, de, B. M. M., 2009, In : Euclides. 84, 7, p. 256-260

Research output: Contribution to journalArticlePopular

1 Downloads (Pure)

Zwakke sleutels bij het RSA-cryptosysteem, deel 2

Weger, de, B. M. M., 2009, In : Euclides. 84, 8, p. 306-308

Research output: Contribution to journalArticlePopular

1 Downloads (Pure)
2005

Theoretical and computational bounds for m-cycles of the 3n+1-problem

Simons, J. L. & Weger, de, B. M. M., 2005, In : Acta Arithmetica. 117, 1, p. 51-70

Research output: Contribution to journalArticleAcademicpeer-review

14 Citations (Scopus)
2004

Mersenne en het Syracuseprobleem (NMC-225 prijsvraag)

Simons, J. L. & Weger, de, B. M. M., 2004, In : Nieuw Archief voor Wiskunde. 5/5, 3, p. 218-220

Research output: Contribution to journalArticleAcademicpeer-review

2002

Cryptanalysis of RSA with small prime difference

Weger, de, B. M. M., 2002, In : Applicable Algebra in Engineering, Communication and Computing. 13, 1, p. 17-28

Research output: Contribution to journalArticleAcademicpeer-review

75 Citations (Scopus)
2 Downloads (Pure)
1999

Elliptic binomial diophantine equations

Stroeker, R. J. & Weger, de, B. M. M., 1999, In : Mathematics of Computation. 68, 227, p. 1257-1281 25 p.

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)

On integral zeroes of binary Krawtchouk polynomials

Stroeker, R. J. & Weger, de, B. M. M., 1999, In : Nieuw Archief voor Wiskunde. 4/17, 2, p. 175-186

Research output: Contribution to journalArticleAcademicpeer-review

4 Downloads (Pure)

On the diameter of sets of almost powers

Weger, de, B. M. M. & Woestijne, van de, C. E., 1999, In : Acta Arithmetica. 90, 4, p. 371-385

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
1 Downloads (Pure)

On the power-free parts of consecutive integers

Weger, de, B. M. M. & Woestijne, van de, C. E., 1999, In : Acta Arithmetica. 90, 4, p. 387-395

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

Solving elliptic diophantine equations : the general cubic case

Stroeker, R. J. & Weger, de, B. M. M., 1999, In : Acta Arithmetica. 87, 4, p. 339-365

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)
1998

A+B=C and big III's

Weger, de, B. M. M., 1998, In : The Quarterly Journal of Mathematics. 49, 193, p. 105-128

Research output: Contribution to journalArticleAcademicpeer-review

On the diophantine equation $| ax^n-by^n|=1$

Bennett, M. A. & Weger, de, B. M. M., 1998, In : Mathematics of Computation. 67, 221, p. 413-438

Research output: Contribution to journalArticleAcademicpeer-review

21 Citations (Scopus)
6 Downloads (Pure)

On the fourth-powerfree part of $x^2+2$

Weger, de, B. M. M., 1998, In : Glasgow Mathematical Journal. 40, 3, p. 299-310

Research output: Contribution to journalArticleAcademicpeer-review

Solving elliptic diophantine equations avoiding Thue equations and elliptic logarithms

Weger, de, B. M. M., 1998, In : Experimental Mathematics. 7, 3, p. 243-256

Research output: Contribution to journalArticleAcademicpeer-review

1997

$210=14\times 15=5\times 6\times 7={21 \choose 2}={10\choose 4}$

Pintér, A. & Weger, de, B. M. M., 1997, In : Publicationes Mathematicae. Institutum Mathematicum Universitatis Debreceniensis. 51, 1-2, p. 175-189

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)

Equal binomial coefficients : some elementary considerations

Weger, de, B. M. M., 1997, In : Journal of Number Theory. 63, 2, p. 373-386

Research output: Contribution to journalArticleAcademicpeer-review

15 Citations (Scopus)

Padua and Pisa are exponentially far apart

Weger, de, B. M. M., 1997, In : Publicacions Matemàtiques. Universidad Autonama de Barcelona. 41, 2, p. 631-651

Research output: Contribution to journalArticleAcademicpeer-review

S-integral solutions to a Weierstrass equation

Weger, de, B. M. M., 1997, In : Journal de Théorie des Nombres de Bordeaux. 9, 2, p. 281-301 21 p.

Research output: Contribution to journalArticleAcademicpeer-review

3 Citations (Scopus)

Solution to problem 10457 [1995, 464] - A surprising family of conditinued fractions

Weger, de, B. M. M., 1997, In : American Mathematical Monthly. 104, 9, p. 875-875 1 p.

Research output: Contribution to journalArticleProfessional

1996

A binomial diophantine equation

Weger, de, B. M. M., 1996, In : The Quarterly Journal of Mathematics. 47, 2, p. 221-231

Research output: Contribution to journalArticleAcademicpeer-review

19 Citations (Scopus)

On a quartic diophantine equation

Stroeker, R. J. & Weger, de, B. M. M., 1996, In : Proceedings of the Edinburgh Mathematical Society. Series II. 39, 1, p. 97-114

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)

On the diophantine equations $x\sp 2+ 74= y\sp 5$ and $x\sp 2+ 86= y\sp 5$

Mignotte, M. & Weger, de, B. M. M., 1996, In : Glasgow Mathematical Journal. 38, 1, p. 77-85

Research output: Contribution to journalArticleAcademicpeer-review

34 Citations (Scopus)
1995

A curious property of the eleventh Fibonacci number

Weger, de, B. M. M., 1995, In : Rocky Mountain Journal of Mathematics. 25, 3, p. 977-994

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
File
5 Citations (Scopus)
16 Downloads (Pure)

A Thue equation with quadratic integers as variables

Weger, de, B. M. M., 1995, In : Mathematics of Computation. 64, 210, p. 855-861 7 p.

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)
1994

On elliptic diophantine equations that defy Thue's method : the case of the Ochoa curve

Stroeker, R. J. & Weger, de, B. M. M., 1994, In : Experimental Mathematics. 3, 3, p. 209-220

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
1993

Corrections to "How to explicitly solve a Thue-Mahler equation''

Tzanakis, N. & Weger, de, B. M. M., 1993, In : Compositio Mathematica. 89, 2, p. 241-242 2 p.

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
1992
7 Citations (Scopus)

How to explicitly solve a Thue-Mahler equation

Tzanakis, N. & Weger, de, B. M. M., 1992, In : Compositio Mathematica. 84, 3, p. 223-288

Research output: Contribution to journalArticleAcademicpeer-review

1991

Solution to problem 6601 [1989, 454] - Cyclic permutations of the q-adic digits

Weger, de, B. M. M., 1991, In : American Mathematical Monthly. 98, 2, p. 174-175 2 p.

Research output: Contribution to journalArticleProfessional

Solution to problem E3353 [1989, 838] - A transcendental sum

Weger, de, B. M. M., 1991, In : American Mathematical Monthly. 98, 3, p. 271-272 2 p.

Research output: Contribution to journalArticleProfessional

Solving a specific Thue-Mahler equation

Tzanakis, N. & Weger, de, B. M. M., 1991, In : Mathematics of Computation. 57, 196, p. 799-815 17 p.

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)
1990

The weighted sum of two S-units being a square

Weger, de, B. M. M., 1990, In : Indagationes Mathematicae. New Series. 1, 2, p. 243-262

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)
1989

Erratum "Solving exponential diophantine equations using lattice basis reduction algorithms''

Weger, de, B. M. M., 1989, In : Journal of Number Theory. 31, 1, p. 88-89 2 p.

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)

On the practical solution of the Thue equation

Tzanakis, N. & Weger, de, B. M. M., 1989, In : Journal of Number Theory. 31, 2, p. 99-132 34 p.

Research output: Contribution to journalArticleAcademicpeer-review

95 Citations (Scopus)
1 Downloads (Pure)
1988

Periodicity of p-adic continued fractions

Weger, de, B. M. M., 1988, In : Elemente der Mathematik. 43, 4, p. 112-116 6 p.

Research output: Contribution to journalArticleAcademicpeer-review

1987

Solving exponential diophantine equations using lattice basis reduction algorithms

Weger, de, B. M. M., 1987, In : Journal of Number Theory. 26, 3, p. 325-367 43 p.

Research output: Contribution to journalArticleAcademicpeer-review

49 Citations (Scopus)
2 Downloads (Pure)
1986

Approximation lattices of p-adic numbers

Weger, de, B. M. M., 1986, In : Journal of Number Theory. 24, 1, p. 70-88 19 p.

Research output: Contribution to journalArticleAcademicpeer-review

25 Citations (Scopus)
2 Downloads (Pure)
Open Access
File
31 Citations (Scopus)
99 Downloads (Pure)
Open Access
File
5 Citations (Scopus)
38 Downloads (Pure)