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Ziegler, Volker

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Author ID: ziegler.volker Recent zbMATH articles by "Ziegler, Volker"
Published as: Ziegler, Volker; Ziegler, V.
External Links: MGP
Documents Indexed: 72 Publications since 2003, including 1 Book
Reviewing Activity: 103 Reviews

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 186 times in 117 Documents Cited by Year
There is no Diophantine quintuple. Zbl 1430.11044
He, Bo; Togbé, Alain; Ziegler, Volker
22
2019
Graphs, partitions and Fibonacci numbers. Zbl 1121.05031
Knopfmacher, Arnold; Tichy, Robert F.; Wagner, Stephan; Ziegler, Volker
13
2007
Automatic solution of families of Thue equations and an example of degree 8. Zbl 1137.11307
Heuberger, Clemens; Togbé, Alain; Ziegler, Volker
10
2005
On a variant of Pillai’s problem. II. Zbl 1434.11086
Chim, Kwok Chi; Pink, István; Ziegler, Volker
10
2018
On a variant of Pillai’s problem. Zbl 1433.11035
Chim, Kwok Chi; Pink, István; Ziegler, Volker
9
2017
Units generating the ring of integers of complex cubic fields. Zbl 1183.11016
Tichy, Robert F.; Ziegler, Volker
9
2007
On an \(S\)-unit variant of Diophantine \(m\)-tuples. Zbl 1274.11095
Szalay, László; Ziegler, Volker
7
2013
The additive unit structure of pure quartic complex fields. Zbl 1260.11064
Filipin, Alan; Tichy, Robert; Ziegler, Volker
6
2008
A system of relative Pellian equations and a related family of relative Thue equations. Zbl 1172.11009
Jadrijević, Borka; Ziegler, Volker
6
2006
Arithmetic progressions on Pell equations. Zbl 1142.11016
Pethő, A.; Ziegler, V.
5
2008
Effective resolution of Diophantine equations of the form \(u_n+u_m=w p_1^{z_1} \dotsm p_s^{z_s}\). Zbl 1440.11041
Pink, István; Ziegler, Volker
5
2018
The additive unit structure of complex biquadratic fields. Zbl 1218.11103
Ziegler, Volker
5
2008
On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128
Filipin, Alan; Tichy, Robert; Ziegler, Volker
5
2008
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
On linear combinations of units with bounded coefficients. Zbl 1235.11100
Thuswaldner, Jörg; Ziegler, Volker
3
2011
On quantitative aspects of the unit sum number problem. Zbl 1250.11090
Fuchs, Clemens; Tichy, Robert; Ziegler, Volker
3
2009
On a family of cubics over imaginary quadratic fields. Zbl 1121.11029
Ziegler, Volker
3
2005
\(S\)-Diophantine quadruples with \(S = \{ 2,q \}\). Zbl 1364.11086
Szalay, László; Ziegler, Volker
3
2015
A note on the number of \(S\)-Diophantine quadruples. Zbl 1370.11045
Luca, Florian; Ziegler, Volker
3
2014
On the uniform distribution modulo 1 of multidimensional LS-sequences. Zbl 1323.11049
Aistleitner, Christoph; Hofer, Markus; Ziegler, Volker
3
2014
On the distribution of the order of number field elements modulo prime ideals. Zbl 1147.11054
Ziegler, Volker
3
2006
Thomas’ conjecture over function fields. Zbl 1193.11030
Ziegler, Volker
3
2007
Parameterized norm form equations with arithmetic progressions. Zbl 1201.11039
Bérczes, A.; Pethő, A.; Ziegler, V.
3
2006
On a family of relative quartic Thue inequalities. Zbl 1137.11021
Ziegler, Volker
3
2006
An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields. Zbl 1363.11015
Madritsch, Manfred G.; Ziegler, Volker
3
2015
Multiplicative relations on binary recurrences. Zbl 1316.11012
Luca, Florian; Ziegler, Volker
2
2013
Metric discrepancy theory, functions of bounded variation and gcd sums. Zbl 1313.11088
Aistleitner, Christoph; Mayer, Philipp A.; Ziegler, Volker
2
2010
On biquadratic fields that admit unit power integral basis. Zbl 1265.11097
Pethő, Attila; Ziegler, Volker
2
2011
\(S\)-Diophantine quadruples with two primes congruent to 3 modulo 4. Zbl 1329.11025
Szalay, László; Ziegler, Volker
2
2013
On simultaneous palindromes. Zbl 1353.11010
Bérczes, Attila; Ziegler, Volker
2
2014
Teubner handbook of mathematics. Part 2. 8th revised ed. (Teubner-Taschenbuch der Mathematik. Teil II.) Zbl 1154.00305
Grosche, G. (ed.); Ziegler, V. (ed.); Zeidler, E. (ed.); Ziegler, D. (ed.)
2
2003
On multiplicatively independent bases in cyclotomic number fields. Zbl 1374.11084
Madritsch, M. G.; Ziegler, V.
2
2015
On arithmetic progressions in Lucas sequences. Zbl 1371.11040
Hajdu, Lajos; Szikszai, Márton; Ziegler, Volker
2
2017
Non-existence of some nearly perfect sequences, near Butson-Hadamard matrices, and near conference matrices. Zbl 1419.94029
Winterhof, Arne; Yayla, Oğuz; Ziegler, Volker
2
2018
On a certain family of quartic Thue equations with three parameters. Zbl 1127.11026
Ziegler, Volker
2
2006
On Diophantine equations involving sums of Fibonacci numbers and powers of 2. Zbl 1416.11047
Chim, Kwok Chi; Ziegler, Volker
2
2018
On geometric progressions on Pell equations and Lucas sequences. Zbl 1331.11023
Bérczes, Attila; Ziegler, Volker
1
2013
On linear combinations of units with bounded coefficients and double-base digit expansions. Zbl 1325.11119
Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker
1
2013
On Thue equations of splitting type over function fields. Zbl 1211.11043
Ziegler, Volker
1
2010
On corner avoidance properties of random-start Halton sequences. Zbl 1142.11058
Hartinger, Jürgen; Ziegler, Volker
1
2007
Distinct unit generated totally complex quartic fields. Zbl 1286.11172
Hajdu, Lajos; Ziegler, Volker
1
2014
On the corner avoidance properties of various low-discrepancy sequences. Zbl 1087.11050
Hartinger, Jürgen; Kainhofer, Reinhold; Ziegler, Volker
1
2005
On distinct unit generated fields that are totally complex. Zbl 1396.11126
Dombek, Daniel; Masáková, Zuzana; Ziegler, Volker
1
2015
On multiplicative independent bases for canonical number systems in cyclotomic number fields. Zbl 1427.11115
Madritsch, Manfred G.; Surer, Paul; Ziegler, Volker
1
2017
On arithmetic progressions in recurrences – a new characterization of the Fibonacci sequence. Zbl 1276.11024
Pintér, Ákos; Ziegler, Volker
1
2012
On arithmetic progressions in Lucas sequences. II. Zbl 07055467
Szikszai, Márton; Ziegler, Volker
1
2019
On the existence of \(S\)-Diophantine quadruples. Zbl 07197949
Ziegler, Volker
1
2019
There is no Diophantine quintuple. Zbl 1430.11044
He, Bo; Togbé, Alain; Ziegler, Volker
22
2019
On arithmetic progressions in Lucas sequences. II. Zbl 07055467
Szikszai, Márton; Ziegler, Volker
1
2019
On the existence of \(S\)-Diophantine quadruples. Zbl 07197949
Ziegler, Volker
1
2019
On a variant of Pillai’s problem. II. Zbl 1434.11086
Chim, Kwok Chi; Pink, István; Ziegler, Volker
10
2018
Effective resolution of Diophantine equations of the form \(u_n+u_m=w p_1^{z_1} \dotsm p_s^{z_s}\). Zbl 1440.11041
Pink, István; Ziegler, Volker
5
2018
Non-existence of some nearly perfect sequences, near Butson-Hadamard matrices, and near conference matrices. Zbl 1419.94029
Winterhof, Arne; Yayla, Oğuz; Ziegler, Volker
2
2018
On Diophantine equations involving sums of Fibonacci numbers and powers of 2. Zbl 1416.11047
Chim, Kwok Chi; Ziegler, Volker
2
2018
On a variant of Pillai’s problem. Zbl 1433.11035
Chim, Kwok Chi; Pink, István; Ziegler, Volker
9
2017
On arithmetic progressions in Lucas sequences. Zbl 1371.11040
Hajdu, Lajos; Szikszai, Márton; Ziegler, Volker
2
2017
On multiplicative independent bases for canonical number systems in cyclotomic number fields. Zbl 1427.11115
Madritsch, Manfred G.; Surer, Paul; Ziegler, Volker
1
2017
\(S\)-Diophantine quadruples with \(S = \{ 2,q \}\). Zbl 1364.11086
Szalay, László; Ziegler, Volker
3
2015
An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields. Zbl 1363.11015
Madritsch, Manfred G.; Ziegler, Volker
3
2015
On multiplicatively independent bases in cyclotomic number fields. Zbl 1374.11084
Madritsch, M. G.; Ziegler, V.
2
2015
On distinct unit generated fields that are totally complex. Zbl 1396.11126
Dombek, Daniel; Masáková, Zuzana; Ziegler, Volker
1
2015
A note on the number of \(S\)-Diophantine quadruples. Zbl 1370.11045
Luca, Florian; Ziegler, Volker
3
2014
On the uniform distribution modulo 1 of multidimensional LS-sequences. Zbl 1323.11049
Aistleitner, Christoph; Hofer, Markus; Ziegler, Volker
3
2014
On simultaneous palindromes. Zbl 1353.11010
Bérczes, Attila; Ziegler, Volker
2
2014
Distinct unit generated totally complex quartic fields. Zbl 1286.11172
Hajdu, Lajos; Ziegler, Volker
1
2014
On an \(S\)-unit variant of Diophantine \(m\)-tuples. Zbl 1274.11095
Szalay, László; Ziegler, Volker
7
2013
Multiplicative relations on binary recurrences. Zbl 1316.11012
Luca, Florian; Ziegler, Volker
2
2013
\(S\)-Diophantine quadruples with two primes congruent to 3 modulo 4. Zbl 1329.11025
Szalay, László; Ziegler, Volker
2
2013
On geometric progressions on Pell equations and Lucas sequences. Zbl 1331.11023
Bérczes, Attila; Ziegler, Volker
1
2013
On linear combinations of units with bounded coefficients and double-base digit expansions. Zbl 1325.11119
Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker
1
2013
On arithmetic progressions in recurrences – a new characterization of the Fibonacci sequence. Zbl 1276.11024
Pintér, Ákos; Ziegler, Volker
1
2012
On linear combinations of units with bounded coefficients. Zbl 1235.11100
Thuswaldner, Jörg; Ziegler, Volker
3
2011
On biquadratic fields that admit unit power integral basis. Zbl 1265.11097
Pethő, Attila; Ziegler, Volker
2
2011
Metric discrepancy theory, functions of bounded variation and gcd sums. Zbl 1313.11088
Aistleitner, Christoph; Mayer, Philipp A.; Ziegler, Volker
2
2010
On Thue equations of splitting type over function fields. Zbl 1211.11043
Ziegler, Volker
1
2010
On quantitative aspects of the unit sum number problem. Zbl 1250.11090
Fuchs, Clemens; Tichy, Robert; Ziegler, Volker
3
2009
The additive unit structure of pure quartic complex fields. Zbl 1260.11064
Filipin, Alan; Tichy, Robert; Ziegler, Volker
6
2008
Arithmetic progressions on Pell equations. Zbl 1142.11016
Pethő, A.; Ziegler, V.
5
2008
The additive unit structure of complex biquadratic fields. Zbl 1218.11103
Ziegler, Volker
5
2008
On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128
Filipin, Alan; Tichy, Robert; Ziegler, Volker
5
2008
Graphs, partitions and Fibonacci numbers. Zbl 1121.05031
Knopfmacher, Arnold; Tichy, Robert F.; Wagner, Stephan; Ziegler, Volker
13
2007
Units generating the ring of integers of complex cubic fields. Zbl 1183.11016
Tichy, Robert F.; Ziegler, Volker
9
2007
Thomas’ conjecture over function fields. Zbl 1193.11030
Ziegler, Volker
3
2007
On corner avoidance properties of random-start Halton sequences. Zbl 1142.11058
Hartinger, Jürgen; Ziegler, Volker
1
2007
A system of relative Pellian equations and a related family of relative Thue equations. Zbl 1172.11009
Jadrijević, Borka; Ziegler, Volker
6
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
On the distribution of the order of number field elements modulo prime ideals. Zbl 1147.11054
Ziegler, Volker
3
2006
Parameterized norm form equations with arithmetic progressions. Zbl 1201.11039
Bérczes, A.; Pethő, A.; Ziegler, V.
3
2006
On a family of relative quartic Thue inequalities. Zbl 1137.11021
Ziegler, Volker
3
2006
On a certain family of quartic Thue equations with three parameters. Zbl 1127.11026
Ziegler, Volker
2
2006
Automatic solution of families of Thue equations and an example of degree 8. Zbl 1137.11307
Heuberger, Clemens; Togbé, Alain; Ziegler, Volker
10
2005
On a family of cubics over imaginary quadratic fields. Zbl 1121.11029
Ziegler, Volker
3
2005
On the corner avoidance properties of various low-discrepancy sequences. Zbl 1087.11050
Hartinger, Jürgen; Kainhofer, Reinhold; Ziegler, Volker
1
2005
Teubner handbook of mathematics. Part 2. 8th revised ed. (Teubner-Taschenbuch der Mathematik. Teil II.) Zbl 1154.00305
Grosche, G.; Ziegler, V.; Zeidler, E.; Ziegler, D.
2
2003
all top 5

Cited by 129 Authors

29 Ziegler, Volker
11 Luca, Florian
7 Dujella, Andrej
7 Fuchs, Clemens
6 Togbé, Alain
5 Tichy, Robert Franz
4 Ddamulira, Mahadi
4 Filipin, Alan
4 Hajdu, Lajos
4 He, Bo
4 Petričević, Vinko
4 Wagner, Stephan G.
3 Jadrijević, Borka
3 Park, Jinseo
3 Pethő, Attila
2 Aistleitner, Christoph
2 Bérczes, Attila
2 Bruyère, Véronique
2 Carbone, Ingrid
2 Chim, Kwok Chi
2 Cipu, Mihai
2 Dombek, Daniel
2 Dosal-Trujillo, Loiret Alejandría
2 Dubickas, Artūras
2 Frei, Christopher
2 Fujita, Yasutsugu Fujita
2 Gaál, István
2 Galeana-Sánchez, Hortensia
2 Gómez Ruiz, Carlos Alexis
2 Gómez, Carlos Alexis
2 Heintze, Sebastian
2 Jou, Min-Jen
2 Kazalicki, Matija
2 Keskin, Refik
2 Kihel, Omar
2 Krenn, Daniel
2 Levit, Vadim E.
2 Madritsch, Manfred G.
2 Mandrescu, Eugen
2 Mélot, Hadrien
2 Perucca, Antonella
2 Pink, István
2 Pintér, Ákos
2 Remete, László
2 Rout, Sudhansu Sekhar
2 Sadek, Mohammad
2 Sgobba, Pietro
2 Szalay, László
2 Thuswaldner, Jörg Maximilian
2 Yayla, Oğuz
1 Adédji, Kouèssi Norbert
1 Adžaga, Nikola
1 Akbulak, Mehmet
1 Andriantiana, Eric Ould Dadah
1 Baxter, Lewis
1 Bayad, Abdelmejid
1 Bennett, Michael A.
1 Berkes, István
1 Bertók, Csanád
1 Bitim, Bahar Demirtürk
1 Chen, Jianlong
1 Cilleruelo, Javier
1 Drungilas, Paulius
1 El-Sissi, Nermine
1 Erazo, Harold S.
1 Erduvan, Fatih
1 Fried, Katalin
1 Ghadermarzi, Amir
1 González-Jiménez, Enrique
1 Grover, Harpreet K.
1 Güloğlu, Ahmet Muhtar
1 Gusić, Ivica
1 Gutman, Ivan M.
1 Gyarmati, Katalin
1 Hejda, Tomáš
1 Hernández Hernández, Santos
1 Heuberger, Clemens
1 Hofer, Markus
1 Hoshi, Akinari
1 Hutle, Christoph
1 Iacò, Maria Rita
1 Joret, Gwenaël
1 Jurasić, Ana
1 Kale, Akın
1 Kebli, Salima
1 Khurana, Dinesh
1 Kostra, Juraj
1 Krčmarský, David
1 Lam, Tsit-Yuen
1 Larone, Jesse
1 Lee, June Bok
1 Lin, Jenq-Jong
1 Malyshev, Dmitry S.
1 Mani, Nitya
1 Masáková, Zuzana
1 Mazumdar, Eshita
1 Meher, Nabin Kumar
1 Miyazaki, Takafumi
1 Murty, Maruti Ram
1 Odjoumani, Japhet
...and 29 more Authors
all top 5

Cited in 52 Serials

16 Journal of Number Theory
10 Monatshefte für Mathematik
7 International Journal of Number Theory
4 Mathematics of Computation
4 Acta Arithmetica
4 Acta Mathematica Hungarica
4 Journal de Théorie des Nombres de Bordeaux
3 Discrete Applied Mathematics
3 Proceedings of the American Mathematical Society
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Discrete Mathematics
2 Lithuanian Mathematical Journal
2 Periodica Mathematica Hungarica
2 Rocky Mountain Journal of Mathematics
2 Functiones et Approximatio. Commentarii Mathematici
2 Acta Applicandae Mathematicae
2 Graphs and Combinatorics
2 Journal of Symbolic Computation
2 Glasnik Matematički. Serija III
2 Indagationes Mathematicae. New Series
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Journal of Combinatorial Optimization
2 Integers
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Research in Number Theory
1 Computers & Mathematics with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Journal of Combinatorial Theory. Series A
1 Mathematika
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Tokyo Journal of Mathematics
1 Discrete Mathematics and Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Tatra Mountains Mathematical Publications
1 Turkish Journal of Mathematics
1 Theory of Computing Systems
1 Journal of Integer Sequences
1 Journal of the European Mathematical Society (JEMS)
1 Communications of the Korean Mathematical Society
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Journal of Algebra and its Applications
1 Mediterranean Journal of Mathematics
1 AKCE International Journal of Graphs and Combinatorics
1 Advances in Mathematics of Communications
1 Cryptography and Communications
1 Bulletin of Mathematical Sciences
1 Communications in Mathematics
1 Korean Journal of Mathematics

Citations by Year