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de Weger, Benjamin M. M.

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Author ID: de-weger.benjamin-m-m Recent zbMATH articles by "de Weger, Benjamin M. M."
Published as: de Weger, B. M. M.; de Weger, Benjamin M. M.
Documents Indexed: 37 Publications since 1986, including 1 Book
Co-Authors: 8 Co-Authors with 17 Joint Publications
315 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 354 times in 251 Documents Cited by Year
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
62
1989
Algorithms for diophantine equations. Zbl 0687.10013
de Weger, B. M. M.
55
1989
Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013
de Weger, B. M. M.
35
1987
\(A+B=C\) and big Ш’s. Zbl 0917.11020
de Weger, Benjamin M. M.
30
1998
How to explicitly solve a Thue-Mahler equation. Zbl 0773.11023
Tzanakis, N.; de Weger, B. M. M.
27
1992
Products of prime powers in binary recurrence sequences. I: The hyperbolic case, with an application to the generalized Ramanujan-Nagell equation. Zbl 0623.10011
Pethö, A.; de Weger, B. M. M.
21
1986
On the diophantine equations \(x^ 2+ 74= y^ 5\) and \(x^ 2+ 86= y^ 5\). Zbl 0847.11011
Mignotte, Maurice; de Weger, Benjamin M. M.
12
1996
Approximation lattices of \(p\)-adic numbers. Zbl 0595.10027
de Weger, B. M. M.
11
1986
Elliptic binomial diophantine equations. Zbl 0920.11014
Stroeker, Roelof J.; de Weger, Benjamin M. M.
9
1999
On the diophantine equation \(| ax^n-by^n|=1\). Zbl 0892.11041
Bennett, Michael A.; de Weger, Benjamin M. M.
9
1998
Solving elliptic Diophantine equations: the general cubic case. Zbl 0930.11015
Stroeker, Roelof J.; de Weger, Benjamin M. M.
9
1999
A binomial diophantine equation. Zbl 0863.11022
de Weger, B. M. M.
8
1996
Equal binomial coefficients: Some elementary considerations. Zbl 0873.11023
de Weger, Benjamin M. M.
8
1997
Periodicity of \(p\)-adic continued fractions. Zbl 0701.11066
de Weger, B. M. M.
7
1988
Padua and Pisa are exponentially far apart. Zbl 0899.11004
de Weger, Benjamin M. M.
7
1997
Solving a specific Thue-Mahler equation. Zbl 0738.11029
Tzanakis, N.; de Weger, B. M. M.
5
1991
The weighted sum of two S-units being a square. Zbl 0714.11017
de Weger, B. M. M.
5
1990
On integral zeroes of binary Krawtchouk polynomials. Zbl 1069.33010
Stroeker, Roelof J.; de Weger, Benjamin M. M.
5
1999
Products of prime powers in binary recurrence sequences. II: The elliptic case, with an application to a mixed quadratic-exponential equation. Zbl 0623.10012
de Weger, B. M. M.
3
1986
On the practical solution of the Thue-Mahler equation. Zbl 0738.11030
Tzanakis, N.; de Weger, B. M. M.
3
1991
A hyperelliptic diophantine equation related to imaginary quadratic number fields with class number 2. Zbl 0738.11032
de Weger, B. M. M.
3
1992
On elliptic diophantine equations that defy Thue’s method: The case of the Ochoa curve. Zbl 0824.11012
Stroeker, Roel J.; de Weger, Benjamin M. M.
3
1994
On a quartic diophantine equation. Zbl 0861.11020
Stroeker, R. J.; de Weger, B. M. M.
3
1996
A Thue equation with quadratic integers as variables. Zbl 0835.11012
de Weger, B. M. M.
3
1995
On the practical solution of Thue-Mahler equations - an outline. Zbl 0703.11014
de Weger, B. M. M.
2
1990
A curious property of the eleventh Fibonacci number. Zbl 0852.11012
de Weger, B. M. M.
2
1995
\(S\)-integral solutions to a Weierstrass equation. Zbl 0898.11009
de Weger, Benjamin M. M.
2
1997
Corrections to “How to explicitly solve a Thue-Mahler equation”. Zbl 0791.11011
Tzanakis, N.; de Weger, B. M. M.
1
1993
Erratum. “Solving exponential diophantine equations using lattice basis reduction algorithms”. Zbl 0657.10016
de Weger, B. M. M.
1
1989
Twin RSA. Zbl 1126.94332
Lenstra, Arjen K.; de Weger, Benjamin M. M.
1
2005
A diophantine equation of Antoniadis. Zbl 0687.10010
de Weger, B. M. M.
1
1989
On the power-free parts of consecutive integers. Zbl 0971.11051
de Weger, B. M. M.; van de Woestijne, C. E.
1
1999
Twin RSA. Zbl 1126.94332
Lenstra, Arjen K.; de Weger, Benjamin M. M.
1
2005
Elliptic binomial diophantine equations. Zbl 0920.11014
Stroeker, Roelof J.; de Weger, Benjamin M. M.
9
1999
Solving elliptic Diophantine equations: the general cubic case. Zbl 0930.11015
Stroeker, Roelof J.; de Weger, Benjamin M. M.
9
1999
On integral zeroes of binary Krawtchouk polynomials. Zbl 1069.33010
Stroeker, Roelof J.; de Weger, Benjamin M. M.
5
1999
On the power-free parts of consecutive integers. Zbl 0971.11051
de Weger, B. M. M.; van de Woestijne, C. E.
1
1999
\(A+B=C\) and big Ш’s. Zbl 0917.11020
de Weger, Benjamin M. M.
30
1998
On the diophantine equation \(| ax^n-by^n|=1\). Zbl 0892.11041
Bennett, Michael A.; de Weger, Benjamin M. M.
9
1998
Equal binomial coefficients: Some elementary considerations. Zbl 0873.11023
de Weger, Benjamin M. M.
8
1997
Padua and Pisa are exponentially far apart. Zbl 0899.11004
de Weger, Benjamin M. M.
7
1997
\(S\)-integral solutions to a Weierstrass equation. Zbl 0898.11009
de Weger, Benjamin M. M.
2
1997
On the diophantine equations \(x^ 2+ 74= y^ 5\) and \(x^ 2+ 86= y^ 5\). Zbl 0847.11011
Mignotte, Maurice; de Weger, Benjamin M. M.
12
1996
A binomial diophantine equation. Zbl 0863.11022
de Weger, B. M. M.
8
1996
On a quartic diophantine equation. Zbl 0861.11020
Stroeker, R. J.; de Weger, B. M. M.
3
1996
A Thue equation with quadratic integers as variables. Zbl 0835.11012
de Weger, B. M. M.
3
1995
A curious property of the eleventh Fibonacci number. Zbl 0852.11012
de Weger, B. M. M.
2
1995
On elliptic diophantine equations that defy Thue’s method: The case of the Ochoa curve. Zbl 0824.11012
Stroeker, Roel J.; de Weger, Benjamin M. M.
3
1994
Corrections to “How to explicitly solve a Thue-Mahler equation”. Zbl 0791.11011
Tzanakis, N.; de Weger, B. M. M.
1
1993
How to explicitly solve a Thue-Mahler equation. Zbl 0773.11023
Tzanakis, N.; de Weger, B. M. M.
27
1992
A hyperelliptic diophantine equation related to imaginary quadratic number fields with class number 2. Zbl 0738.11032
de Weger, B. M. M.
3
1992
Solving a specific Thue-Mahler equation. Zbl 0738.11029
Tzanakis, N.; de Weger, B. M. M.
5
1991
On the practical solution of the Thue-Mahler equation. Zbl 0738.11030
Tzanakis, N.; de Weger, B. M. M.
3
1991
The weighted sum of two S-units being a square. Zbl 0714.11017
de Weger, B. M. M.
5
1990
On the practical solution of Thue-Mahler equations - an outline. Zbl 0703.11014
de Weger, B. M. M.
2
1990
On the practical solution of the Thue equation. Zbl 0657.10014
Tzanakis, N.; de Weger, B. M. M.
62
1989
Algorithms for diophantine equations. Zbl 0687.10013
de Weger, B. M. M.
55
1989
Erratum. “Solving exponential diophantine equations using lattice basis reduction algorithms”. Zbl 0657.10016
de Weger, B. M. M.
1
1989
A diophantine equation of Antoniadis. Zbl 0687.10010
de Weger, B. M. M.
1
1989
Periodicity of \(p\)-adic continued fractions. Zbl 0701.11066
de Weger, B. M. M.
7
1988
Solving exponential diophantine equations using lattice basis reduction algorithms. Zbl 0625.10013
de Weger, B. M. M.
35
1987
Products of prime powers in binary recurrence sequences. I: The hyperbolic case, with an application to the generalized Ramanujan-Nagell equation. Zbl 0623.10011
Pethö, A.; de Weger, B. M. M.
21
1986
Approximation lattices of \(p\)-adic numbers. Zbl 0595.10027
de Weger, B. M. M.
11
1986
Products of prime powers in binary recurrence sequences. II: The elliptic case, with an application to a mixed quadratic-exponential equation. Zbl 0623.10012
de Weger, B. M. M.
3
1986
all top 5

Cited by 289 Authors

16 de Weger, Benjamin M. M.
14 Togbé, Alain
13 Bennett, Michael A.
12 Luca, Florian
12 Tzanakis, Nikos
11 Rihane, Salah Eddine
9 Ziegler, Volker
8 Stroeker, Roelof J.
6 Hajdu, Lajos
5 Erduvan, Fatih
5 Keskin, Refik
5 Mignotte, Maurice
5 Pethő, Attila
5 Pink, István
5 Shorey, Tarlok Nath
5 Smart, Nigel P.
5 Tijdeman, Robert
4 Tengely, Szabolcs
3 Adegbindin, Chèfiath Awero
3 Bérczes, Attila
3 Gaál, István
3 Kovács, Tünde
3 Laishram, Shanta
3 Normenyo, Benedict Vasco
3 Pintér, Ákos
3 Poulakis, Dimitrios
3 Rout, Sudhansu Sekhar
3 Saradha, N.
3 Styer, Robert Alan
3 Varga, Nóra
2 Billerey, Nicolas
2 Brouwer, Andries Evert
2 Bugeaud, Yann
2 Burhanuddin, Iftikhar A.
2 Demirci, Musa
2 Di Fiore, Carmine
2 Dominici, Diego Ernesto
2 Draziotis, Konstantinos A.
2 Erazo, Harold S.
2 Gallegos-Ruiz, Homero R.
2 García Lomelí, Ana Cecilia
2 Ghadermarzi, Amir
2 Gherga, Adela
2 Gómez, Carlos Alexis
2 Halim, Yacine
2 Hernández Hernández, Santos
2 Herrmann, Emanuel
2 Huang, Ming-Deh A.
2 Jadrijević, Borka
2 Kafle, Bir
2 Koutsianas, Angelos
2 Murru, Nadir
2 Rábai, Zsolt
2 Rechnitzer, Andrew Daniel
2 Scott, Reese
2 Sharma, Richa
2 Şiar, Zafer
2 Simons, John L.
2 Skinner, Christopher M.
2 Soydan, Gokhan
2 Steiner, Ray Phillip
2 Terracini, Lea
2 Zellini, Paolo
1 Akhtari, Shabnam
1 Al-jourany, Khalid Hadi Hameed
1 Alan, Murat
1 Alzati, Alberto
1 Amir, Malik
1 Anderson, Peter Gordon
1 Aubry, Yves
1 Auel, Asher Natan
1 Bajolet, Aurélien
1 Balakrishnan, Jennifer S.
1 Barańczuk, Stefan
1 Bauer, Mark L.
1 Bayad, Abdelmejid
1 Bedocchi, Edmondo
1 Bekki, Hohto
1 Belhadef, Rafik
1 Bennett, Curtis D.
1 Beukers, Frits
1 Bhoi, Kisan
1 Binegar, Skye
1 Blass, Jozef
1 Blokhuis, Aart
1 Bochenek, Krystyn
1 Boussaha, Alaf
1 Boĭvalenkov, Pet”r Georgiev
1 Browkin, Jerzy
1 Bruin, Peter
1 Brussel, Eric S.
1 Buchholz, Ralph Heiner
1 Bulanov, Aleksandr Pavlovich
1 Cangul, Ismail Naci
1 Cao, Zhenfu
1 Chakraborty, Kalyan
1 Chen, Jianhua
1 Chern, Shane
1 Chirka, Evgeni M.
1 Cioabă, Sebastian M.
...and 189 more Authors
all top 5

Cited in 84 Serials

34 Journal of Number Theory
33 Mathematics of Computation
9 Analysis Mathematica
8 Periodica Mathematica Hungarica
7 Indagationes Mathematicae. New Series
7 Experimental Mathematics
7 Journal de Théorie des Nombres de Bordeaux
6 The Ramanujan Journal
6 Integers
6 International Journal of Number Theory
5 Rocky Mountain Journal of Mathematics
5 Acta Arithmetica
5 Monatshefte für Mathematik
5 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Glasgow Mathematical Journal
4 Transformation Groups
4 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Functiones et Approximatio. Commentarii Mathematici
3 Transactions of the American Mathematical Society
2 Russian Mathematical Surveys
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Compositio Mathematica
2 Mathematica Slovaca
2 Mathematika
2 Results in Mathematics
2 Applied Mathematics and Mechanics. (English Edition)
2 Journal of Symbolic Computation
2 Designs, Codes and Cryptography
2 Linear Algebra and its Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Journal of Integer Sequences
2 LMS Journal of Computation and Mathematics
2 Mediterranean Journal of Mathematics
2 Communications in Mathematics
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Bulletin of the Australian Mathematical Society
1 International Journal of Mathematical Education in Science and Technology
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Problems of Information Transmission
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Duke Mathematical Journal
1 Journal of Combinatorial Theory. Series B
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Programming and Computer Software
1 Quaestiones Mathematicae
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 Studia Logica
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Journal of Cryptology
1 Forum Mathematicum
1 Mathematica Bohemica
1 Acta Mathematica Universitatis Comenianae. New Series
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 Filomat
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 Journal of Mathematical Chemistry
1 Matematychni Studiï
1 Journal of Mathematical Study
1 Annals of Mathematics. Second Series
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Advances in Difference Equations
1 Applicable Analysis and Discrete Mathematics
1 Involve
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Afrika Matematika
1 Arabian Journal of Mathematics
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Arnold Mathematical Journal
1 Journal of Numbers
1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika
1 Bulletin of the Hellenic Mathematical Society

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