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Fuchs, Clemens

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Author ID: fuchs.clemens Recent zbMATH articles by "Fuchs, Clemens"
Published as: Fuchs, Clemens; Fuchs, C.
Homepage: http://fuchsc.sbg.ac.at/
External Links: MGP · ORCID · dblp · IdRef · theses.fr
Documents Indexed: 53 Publications since 2002, including 3 Books

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 163 times in 90 Documents Cited by Year
Complete solution of a problem of Diophantus and Euler. Zbl 1166.11309
Dujella, Andrej; Fuchs, Clemens
17
2005
Effective solution of the \(D(-1)\)-quadruple conjecture. Zbl 1137.11019
Dujella, Andrej; Filipin, Alan; Fuchs, Clemens
15
2007
Composite rational functions expressible with few terms. Zbl 1244.12001
Fuchs, Clemens; Zannier, Umberto
15
2012
A polynomial variant of a problem of Diophantus and Euler. Zbl 1074.11019
Dujella, Andrej; Fuchs, Clemens
7
2003
Perfect powers in linear recurring sequences. Zbl 1052.11022
Fuchs, Clemens; Tichy, Robert F.
7
2003
Diophantine \(m\)-tuples for linear polynomials. Zbl 1059.11027
Dujella, Andrej; Fuchs, Clemens; Tichy, Robert F.
6
2002
Polynomial-exponential equations and linear recurrences. Zbl 1056.11019
Fuchs, Clemens
6
2003
Complete solution of the polynomial version of a problem of Diophantus. Zbl 1047.11024
Dujella, Andrej; Fuchs, Clemens
5
2004
An upper bound for the G.C.D. of two linear recurring sequences. Zbl 1048.11025
Fuchs, Clemens
5
2003
On fewnomials, integral points, and a toric version of Bertini’s theorem. Zbl 1439.11091
Fuchs, Clemens; Mantova, Vincenzo; Zannier, Umberto
5
2018
On the Diophantine equation \(G_n(x)=G_m(P(x))\): Higher-order recurrences. Zbl 1026.11040
Fuchs, Clemens; Pethő, Attila; Tichy, Robert F.
5
2003
Substitutions, abstract number systems and the space filling property. Zbl 1194.11023
Fuchs, Clemens; Tijdeman, Robert
5
2006
Diophantine triples with values in binary recurrences. Zbl 1193.11032
Fuchs, Clemens; Luca, Florian; Szalay, László
5
2008
Effective bounds for the zeros of linear recurrences in function fields. Zbl 1153.11303
Fuchs, Clemens; Pethő, Attila
4
2005
On a family of Thue equations over function fields. Zbl 1103.11009
Fuchs, Clemens; Ziegler, Volker
4
2006
On the Diophantine equation \(G_n(x)=G_m(P(x))\) for third order linear recurring sequences. Zbl 1114.11030
Fuchs, Clemens
4
2004
On the Diophantine equation \(G_{n}(x) = G_{m}(P(x))\). Zbl 1026.11039
Pethő, Attila; Fuchs, Clemens; Tichy, Robert F.
4
2002
Thomas’s family of Thue equations over functions fields. Zbl 1185.11020
Fuchs, Clemens; Ziegler, Volker
4
2006
Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations. Zbl 1289.11035
Bilu, Yuri F.; Fuchs, Clemens; Luca, Florian; Pintér, Ákos
3
2013
Diophantine \(m\)-tuples for linear polynomials. II: Equal degrees. Zbl 1132.11014
Dujella, Andrej; Fuchs, Clemens; Walsh, Gary
3
2006
Decomposable polynomials in second order linear recurrence sequences. Zbl 1465.11060
Fuchs, Clemens; Karolus, Christina; Kreso, Dijana
3
2019
On the Diophantine equation \(G_n(x)=G_m(y)\) with \(Q(x,y)=0\). Zbl 1215.11031
Fuchs, Clemens; Pethő, Attila; Tichy, Robert F.
3
2008
On quantitative aspects of the unit sum number problem. Zbl 1250.11090
Fuchs, Clemens; Tichy, Robert; Ziegler, Volker
3
2009
Composite rational functions having a bounded number of zeros and poles. Zbl 1234.11156
Fuchs, Clemens; Pethő, Attila
3
2011
An effective Shafarevich theorem for elliptic curves. Zbl 1231.11061
Fuchs, Clemens; von Känel, Rafael; Wüstholz, Gisbert
3
2011
The \(p\)-adic analytic subgroup theorem revisited. Zbl 1327.11049
Fuchs, C.; Pham, D. H.
3
2015
Diophantine triples and \(k\)-generalized Fibonacci sequences. Zbl 1447.11054
Fuchs, Clemens; Hutle, Christoph; Luca, Florian; Szalay, László
3
2018
Only finitely many Tribonacci Diophantine triples exist. Zbl 1440.11042
Fuchs, Clemens; Hutle, Christoph; Irmak, Nurettin; Luca, Florian; Szalay, László
2
2017
Commutative algebraic groups and \(p\)-adic linear forms. Zbl 1391.11089
Fuchs, Clemens; Pham, Duc Hiep
2
2015
Polynomial-exponential equations involving several linear recurrences. Zbl 1064.11031
Fuchs, Clemens; Scremin, Amedeo
2
2004
Polynomial-exponential equations involving multi-recurrences. Zbl 1224.11060
Fuchs, Clemens
2
2009
On a problem of Diophantus for rationals. Zbl 1293.11052
Dujella, Andrej; Fuchs, Clemens
1
2012
Diophantine problems with linear recurrences via the subspace theorem. Zbl 1140.11337
Fuchs, Clemens
1
2005
On a parametric family of Thue inequalities over function fields. Zbl 1139.11017
Fuchs, Clemens; Jadrijević, Borka
1
2007
A polynomial variant of a problem of Diophantus for pure powers. Zbl 1218.11028
Dujella, Andrej; Fuchs, Clemens; Luca, Florian
1
2008
Divisibility properties of generalized Laguerre polynomials. Zbl 1208.11036
Fuchs, Clemens; Shorey, T. N.
1
2009
Decomposable polynomials in second order linear recurrence sequences. Zbl 1465.11060
Fuchs, Clemens; Karolus, Christina; Kreso, Dijana
3
2019
On fewnomials, integral points, and a toric version of Bertini’s theorem. Zbl 1439.11091
Fuchs, Clemens; Mantova, Vincenzo; Zannier, Umberto
5
2018
Diophantine triples and \(k\)-generalized Fibonacci sequences. Zbl 1447.11054
Fuchs, Clemens; Hutle, Christoph; Luca, Florian; Szalay, László
3
2018
Only finitely many Tribonacci Diophantine triples exist. Zbl 1440.11042
Fuchs, Clemens; Hutle, Christoph; Irmak, Nurettin; Luca, Florian; Szalay, László
2
2017
The \(p\)-adic analytic subgroup theorem revisited. Zbl 1327.11049
Fuchs, C.; Pham, D. H.
3
2015
Commutative algebraic groups and \(p\)-adic linear forms. Zbl 1391.11089
Fuchs, Clemens; Pham, Duc Hiep
2
2015
Combinatorial Diophantine equations and a refinement of a theorem on separated variables equations. Zbl 1289.11035
Bilu, Yuri F.; Fuchs, Clemens; Luca, Florian; Pintér, Ákos
3
2013
Composite rational functions expressible with few terms. Zbl 1244.12001
Fuchs, Clemens; Zannier, Umberto
15
2012
On a problem of Diophantus for rationals. Zbl 1293.11052
Dujella, Andrej; Fuchs, Clemens
1
2012
Composite rational functions having a bounded number of zeros and poles. Zbl 1234.11156
Fuchs, Clemens; Pethő, Attila
3
2011
An effective Shafarevich theorem for elliptic curves. Zbl 1231.11061
Fuchs, Clemens; von Känel, Rafael; Wüstholz, Gisbert
3
2011
On quantitative aspects of the unit sum number problem. Zbl 1250.11090
Fuchs, Clemens; Tichy, Robert; Ziegler, Volker
3
2009
Polynomial-exponential equations involving multi-recurrences. Zbl 1224.11060
Fuchs, Clemens
2
2009
Divisibility properties of generalized Laguerre polynomials. Zbl 1208.11036
Fuchs, Clemens; Shorey, T. N.
1
2009
Diophantine triples with values in binary recurrences. Zbl 1193.11032
Fuchs, Clemens; Luca, Florian; Szalay, László
5
2008
On the Diophantine equation \(G_n(x)=G_m(y)\) with \(Q(x,y)=0\). Zbl 1215.11031
Fuchs, Clemens; Pethő, Attila; Tichy, Robert F.
3
2008
A polynomial variant of a problem of Diophantus for pure powers. Zbl 1218.11028
Dujella, Andrej; Fuchs, Clemens; Luca, Florian
1
2008
Effective solution of the \(D(-1)\)-quadruple conjecture. Zbl 1137.11019
Dujella, Andrej; Filipin, Alan; Fuchs, Clemens
15
2007
On a parametric family of Thue inequalities over function fields. Zbl 1139.11017
Fuchs, Clemens; Jadrijević, Borka
1
2007
Substitutions, abstract number systems and the space filling property. Zbl 1194.11023
Fuchs, Clemens; Tijdeman, Robert
5
2006
On a family of Thue equations over function fields. Zbl 1103.11009
Fuchs, Clemens; Ziegler, Volker
4
2006
Thomas’s family of Thue equations over functions fields. Zbl 1185.11020
Fuchs, Clemens; Ziegler, Volker
4
2006
Diophantine \(m\)-tuples for linear polynomials. II: Equal degrees. Zbl 1132.11014
Dujella, Andrej; Fuchs, Clemens; Walsh, Gary
3
2006
Complete solution of a problem of Diophantus and Euler. Zbl 1166.11309
Dujella, Andrej; Fuchs, Clemens
17
2005
Effective bounds for the zeros of linear recurrences in function fields. Zbl 1153.11303
Fuchs, Clemens; Pethő, Attila
4
2005
Diophantine problems with linear recurrences via the subspace theorem. Zbl 1140.11337
Fuchs, Clemens
1
2005
Complete solution of the polynomial version of a problem of Diophantus. Zbl 1047.11024
Dujella, Andrej; Fuchs, Clemens
5
2004
On the Diophantine equation \(G_n(x)=G_m(P(x))\) for third order linear recurring sequences. Zbl 1114.11030
Fuchs, Clemens
4
2004
Polynomial-exponential equations involving several linear recurrences. Zbl 1064.11031
Fuchs, Clemens; Scremin, Amedeo
2
2004
A polynomial variant of a problem of Diophantus and Euler. Zbl 1074.11019
Dujella, Andrej; Fuchs, Clemens
7
2003
Perfect powers in linear recurring sequences. Zbl 1052.11022
Fuchs, Clemens; Tichy, Robert F.
7
2003
Polynomial-exponential equations and linear recurrences. Zbl 1056.11019
Fuchs, Clemens
6
2003
An upper bound for the G.C.D. of two linear recurring sequences. Zbl 1048.11025
Fuchs, Clemens
5
2003
On the Diophantine equation \(G_n(x)=G_m(P(x))\): Higher-order recurrences. Zbl 1026.11040
Fuchs, Clemens; Pethő, Attila; Tichy, Robert F.
5
2003
Diophantine \(m\)-tuples for linear polynomials. Zbl 1059.11027
Dujella, Andrej; Fuchs, Clemens; Tichy, Robert F.
6
2002
On the Diophantine equation \(G_{n}(x) = G_{m}(P(x))\). Zbl 1026.11039
Pethő, Attila; Fuchs, Clemens; Tichy, Robert F.
4
2002
all top 5

Cited by 90 Authors

23 Fuchs, Clemens
11 Dujella, Andrej
10 Luca, Florian
6 Ziegler, Volker
5 Heintze, Sebastian
4 Fujita, Yasutsugu Fujita
4 Kreso, Dijana
4 Ostafe, Alina
4 Szalay, László
4 Togbé, Alain
4 Zannier, Umberto M.
3 Filipin, Alan
3 He, Bo
3 Hutle, Christoph
3 Pethő, Attila
3 Sanna, Carlo
3 Tichy, Robert Franz
2 Berthé, Valérie
2 Franušić, Zrinka
2 Frei, Christopher
2 Irmak, Nurettin
2 Jurasić, Ana
2 Karolus, Christina
2 Pham, Duc Hiep
2 Rosema, Sierk W.
2 Shparlinski, Igor E.
2 Soldo, Ivan
2 Thuswaldner, Jörg Maximilian
2 Von Känel, Rafael
2 Walsh, Peter Gareth
2 Young, Marley
1 Adžaga, Nikola
1 Akiyama, Shigeki
1 Alp, Murat
1 Amoroso, Francesco
1 Barat, Guy
1 Bennett, Michael A.
1 Bérczes, Attila
1 Billerey, Nicolas
1 Bilu, Yuri F.
1 Bonciocat, Nicolae Ciprian
1 Borichev, Aleksandr Aleksandrovich
1 Bourdon, Jérémie
1 Bugeaud, Yann
1 Bujačić, Sanda
1 Chen, Evan
1 Chim, Kwok Chi
1 Cipu, Mihai
1 Ddamulira, Mahadi
1 Dogra, Netan
1 Dvornicich, Roberto
1 Elsholtz, Christian
1 Fried, Michael David
1 Gomez-Perez, Domingo
1 Guest, Simon D.
1 Hajdu, Lajos
1 Hu, Zhi
1 Jadrijević, Borka
1 Jolivet, Timo
1 Jukić Bokun, Mirela
1 Kaneko, Hajime
1 Kebli, Salima
1 Kihel, Omar
1 Larone, Jesse
1 Le Fourn, Samuel
1 Levin, Aaron
1 Liardet, Pierre
1 Mantova, Vincenzo
1 Mastrostefano, Daniele
1 Mignotte, Maurice
1 Miyazaki, Takafumi
1 Morris, Joy
1 Paganin, Matteo
1 Park, Jinseo
1 Paulin, Roland
1 Petričević, Vinko
1 Pink, István
1 Praeger, Cheryl Elisabeth
1 Ramasamy, A. M. S.
1 Sadek, Mohammad
1 Scremin, Amedeo
1 Sha, Min
1 Shorey, Tarlok Nath
1 Siegel, Anne
1 Sombra, Martín
1 Spiga, Pablo
1 Tadić, Petra
1 Tijdeman, Robert
1 Zaïmi, Toufik Mostepha
1 Ziegler, Konstantin
all top 5

Cited in 42 Serials

10 Journal of Number Theory
7 Monatshefte für Mathematik
5 Periodica Mathematica Hungarica
5 Rocky Mountain Journal of Mathematics
5 International Journal of Number Theory
4 Proceedings of the American Mathematical Society
4 Indagationes Mathematicae. New Series
4 Journal de Théorie des Nombres de Bordeaux
3 Bulletin of the Australian Mathematical Society
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Acta Arithmetica
2 Annales de l’Institut Fourier
2 Manuscripta Mathematica
2 Transactions of the American Mathematical Society
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Research in Number Theory
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematics of Computation
1 Inventiones Mathematicae
1 Journal of Algebra
1 Mathematische Annalen
1 Mathematica Slovaca
1 Michigan Mathematical Journal
1 Tokyo Journal of Mathematics
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Journal of Symbolic Computation
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 Publicacions Matemàtiques
1 Glasnik Matematički. Serija III
1 Annales Mathématiques Blaise Pascal
1 Kyushu Journal of Mathematics
1 Finite Fields and their Applications
1 The Ramanujan Journal
1 Journal of the Australian Mathematical Society
1 Cryptography and Communications
1 Science China. Mathematics
1 Forum of Mathematics, Sigma
1 Korean Journal of Mathematics
1 Journal of Ramanujan Society of Mathematics and Mathematical Sciences

Citations by Year