# zbMATH — the first resource for mathematics

## Ziegler, Volker

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 Author ID: ziegler.volker Published as: Ziegler, Volker; Ziegler, V. External Links: MGP
 Documents Indexed: 72 Publications since 2003, including 1 Book Reviewing Activity: 103 Reviews
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#### Co-Authors

 19 single-authored 7 Tichy, Robert Franz 5 Bérczes, Attila 5 Pink, István 4 Luca, Florian 3 Chim, Kwok Chi 3 Fuchs, Clemens 3 Madritsch, Manfred G. 3 Pethő, Attila 3 Szalay, László 3 Togbé, Alain 2 Aistleitner, Christoph 2 Chaloun, Tobias 2 Filipin, Alan 2 Hajdu, Lajos 2 Hartinger, Jürgen 2 Hofer, Markus 2 Krenn, Daniel 2 Menzel, Wolfgang 2 Szikszai, Márton 2 Thuswaldner, Jörg Maximilian 2 Vukusic, Ingrid 2 Wagner, Stephan G. 1 Amendola, Giandomenico 1 Arnieri, Emilio 1 Boccia, Luigi 1 Dombek, Daniel 1 Frei, Christopher 1 Gao, Steven 1 He, Bo 1 Heuberger, Clemens 1 Iacò, Maria Rita 1 Jadrijević, Borka 1 Kainhofer, Reinhold F. 1 Knopfmacher, Arnold 1 Luo, Qi 1 Masáková, Zuzana 1 Mayer, Philipp A. 1 Meniconi, Erika 1 Odjoumani, Japhet 1 Pintér, Ákos 1 Sandhu, Ali Imran 1 Sobhy, Mohammed I. 1 Surer, Paul 1 Winterhof, Arne 1 Yang, Daodao 1 Yayla, Oğuz 1 Zeidler, Eberhard 1 Zhang, Chong 1 Zhou, Dawei
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#### Serials

 6 Journal of Number Theory 6 Internationale Mathematische Nachrichten 5 Monatshefte für Mathematik 4 Acta Arithmetica 4 Glasnik Matematički. Serija III 4 International Journal of Number Theory 3 Mathematics of Computation 3 Publicationes Mathematicae 3 Integers 3 IEEE Transactions on Antennas and Propagation 3 Uniform Distribution Theory 2 Periodica Mathematica Hungarica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Acta Mathematica Hungarica 2 Journal of Symbolic Computation 2 Journal of Integer Sequences 1 Discrete Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 Colloquium Mathematicum 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematika 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 The Quarterly Journal of Mathematics 1 Mathematics in Computer Science 1 Journal of Combinatorics and Number Theory 1 Communications in Mathematics 1 Research in Number Theory
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#### Fields

 61 Number theory (11-XX) 7 General and overarching topics; collections (00-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)

#### 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
2019
Graphs, partitions and Fibonacci numbers. Zbl 1121.05031
Knopfmacher, Arnold; Tichy, Robert F.; Wagner, Stephan; Ziegler, Volker
2007
Automatic solution of families of Thue equations and an example of degree 8. Zbl 1137.11307
Heuberger, Clemens; Togbé, Alain; Ziegler, Volker
2005
On a variant of Pillai’s problem. II. Zbl 1434.11086
Chim, Kwok Chi; Pink, István; Ziegler, Volker
2018
On a variant of Pillai’s problem. Zbl 1433.11035
Chim, Kwok Chi; Pink, István; Ziegler, Volker
2017
Units generating the ring of integers of complex cubic fields. Zbl 1183.11016
Tichy, Robert F.; Ziegler, Volker
2007
On an $$S$$-unit variant of Diophantine $$m$$-tuples. Zbl 1274.11095
Szalay, László; Ziegler, Volker
2013
The additive unit structure of pure quartic complex fields. Zbl 1260.11064
Filipin, Alan; Tichy, Robert; Ziegler, Volker
2008
A system of relative Pellian equations and a related family of relative Thue equations. Zbl 1172.11009
2006
Arithmetic progressions on Pell equations. Zbl 1142.11016
Pethő, A.; Ziegler, V.
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
2018
Ziegler, Volker
2008
On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128
Filipin, Alan; Tichy, Robert; Ziegler, Volker
2008
On a family of Thue equations over function fields. Zbl 1103.11009
Fuchs, Clemens; Ziegler, Volker
2006
Thomas’s family of Thue equations over functions fields. Zbl 1185.11020
Fuchs, Clemens; Ziegler, Volker
2006
On linear combinations of units with bounded coefficients. Zbl 1235.11100
Thuswaldner, Jörg; Ziegler, Volker
2011
On quantitative aspects of the unit sum number problem. Zbl 1250.11090
Fuchs, Clemens; Tichy, Robert; Ziegler, Volker
2009
On a family of cubics over imaginary quadratic fields. Zbl 1121.11029
Ziegler, Volker
2005
$$S$$-Diophantine quadruples with $$S = \{ 2,q \}$$. Zbl 1364.11086
Szalay, László; Ziegler, Volker
2015
A note on the number of $$S$$-Diophantine quadruples. Zbl 1370.11045
Luca, Florian; Ziegler, Volker
2014
On the uniform distribution modulo 1 of multidimensional LS-sequences. Zbl 1323.11049
Aistleitner, Christoph; Hofer, Markus; Ziegler, Volker
2014
On the distribution of the order of number field elements modulo prime ideals. Zbl 1147.11054
Ziegler, Volker
2006
Thomas’ conjecture over function fields. Zbl 1193.11030
Ziegler, Volker
2007
Parameterized norm form equations with arithmetic progressions. Zbl 1201.11039
Bérczes, A.; Pethő, A.; Ziegler, V.
2006
On a family of relative quartic Thue inequalities. Zbl 1137.11021
Ziegler, Volker
2006
An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields. Zbl 1363.11015
2015
Multiplicative relations on binary recurrences. Zbl 1316.11012
Luca, Florian; Ziegler, Volker
2013
Metric discrepancy theory, functions of bounded variation and gcd sums. Zbl 1313.11088
Aistleitner, Christoph; Mayer, Philipp A.; Ziegler, Volker
2010
Pethő, Attila; Ziegler, Volker
2011
$$S$$-Diophantine quadruples with two primes congruent to 3 modulo 4. Zbl 1329.11025
Szalay, László; Ziegler, Volker
2013
On simultaneous palindromes. Zbl 1353.11010
Bérczes, Attila; Ziegler, Volker
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.)
2003
On multiplicatively independent bases in cyclotomic number fields. Zbl 1374.11084
2015
On arithmetic progressions in Lucas sequences. Zbl 1371.11040
Hajdu, Lajos; Szikszai, Márton; Ziegler, Volker
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
2018
On a certain family of quartic Thue equations with three parameters. Zbl 1127.11026
Ziegler, Volker
2006
On Diophantine equations involving sums of Fibonacci numbers and powers of 2. Zbl 1416.11047
Chim, Kwok Chi; Ziegler, Volker
2018
On geometric progressions on Pell equations and Lucas sequences. Zbl 1331.11023
Bérczes, Attila; Ziegler, Volker
2013
On linear combinations of units with bounded coefficients and double-base digit expansions. Zbl 1325.11119
Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker
2013
On Thue equations of splitting type over function fields. Zbl 1211.11043
Ziegler, Volker
2010
On corner avoidance properties of random-start Halton sequences. Zbl 1142.11058
Hartinger, Jürgen; Ziegler, Volker
2007
Distinct unit generated totally complex quartic fields. Zbl 1286.11172
Hajdu, Lajos; Ziegler, Volker
2014
On the corner avoidance properties of various low-discrepancy sequences. Zbl 1087.11050
Hartinger, Jürgen; Kainhofer, Reinhold; Ziegler, Volker
2005
On distinct unit generated fields that are totally complex. Zbl 1396.11126
Dombek, Daniel; Masáková, Zuzana; Ziegler, Volker
2015
On multiplicative independent bases for canonical number systems in cyclotomic number fields. Zbl 1427.11115
Madritsch, Manfred G.; Surer, Paul; Ziegler, Volker
2017
On arithmetic progressions in recurrences – a new characterization of the Fibonacci sequence. Zbl 1276.11024
Pintér, Ákos; Ziegler, Volker
2012
On arithmetic progressions in Lucas sequences. II. Zbl 07055467
Szikszai, Márton; Ziegler, Volker
2019
On the existence of $$S$$-Diophantine quadruples. Zbl 07197949
Ziegler, Volker
2019
There is no Diophantine quintuple. Zbl 1430.11044
He, Bo; Togbé, Alain; Ziegler, Volker
2019
On arithmetic progressions in Lucas sequences. II. Zbl 07055467
Szikszai, Márton; Ziegler, Volker
2019
On the existence of $$S$$-Diophantine quadruples. Zbl 07197949
Ziegler, Volker
2019
On a variant of Pillai’s problem. II. Zbl 1434.11086
Chim, Kwok Chi; Pink, István; Ziegler, Volker
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
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
2018
On Diophantine equations involving sums of Fibonacci numbers and powers of 2. Zbl 1416.11047
Chim, Kwok Chi; Ziegler, Volker
2018
On a variant of Pillai’s problem. Zbl 1433.11035
Chim, Kwok Chi; Pink, István; Ziegler, Volker
2017
On arithmetic progressions in Lucas sequences. Zbl 1371.11040
Hajdu, Lajos; Szikszai, Márton; Ziegler, Volker
2017
On multiplicative independent bases for canonical number systems in cyclotomic number fields. Zbl 1427.11115
Madritsch, Manfred G.; Surer, Paul; Ziegler, Volker
2017
$$S$$-Diophantine quadruples with $$S = \{ 2,q \}$$. Zbl 1364.11086
Szalay, László; Ziegler, Volker
2015
An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields. Zbl 1363.11015
2015
On multiplicatively independent bases in cyclotomic number fields. Zbl 1374.11084
2015
On distinct unit generated fields that are totally complex. Zbl 1396.11126
Dombek, Daniel; Masáková, Zuzana; Ziegler, Volker
2015
A note on the number of $$S$$-Diophantine quadruples. Zbl 1370.11045
Luca, Florian; Ziegler, Volker
2014
On the uniform distribution modulo 1 of multidimensional LS-sequences. Zbl 1323.11049
Aistleitner, Christoph; Hofer, Markus; Ziegler, Volker
2014
On simultaneous palindromes. Zbl 1353.11010
Bérczes, Attila; Ziegler, Volker
2014
Distinct unit generated totally complex quartic fields. Zbl 1286.11172
Hajdu, Lajos; Ziegler, Volker
2014
On an $$S$$-unit variant of Diophantine $$m$$-tuples. Zbl 1274.11095
Szalay, László; Ziegler, Volker
2013
Multiplicative relations on binary recurrences. Zbl 1316.11012
Luca, Florian; Ziegler, Volker
2013
$$S$$-Diophantine quadruples with two primes congruent to 3 modulo 4. Zbl 1329.11025
Szalay, László; Ziegler, Volker
2013
On geometric progressions on Pell equations and Lucas sequences. Zbl 1331.11023
Bérczes, Attila; Ziegler, Volker
2013
On linear combinations of units with bounded coefficients and double-base digit expansions. Zbl 1325.11119
Krenn, Daniel; Thuswaldner, Jörg; Ziegler, Volker
2013
On arithmetic progressions in recurrences – a new characterization of the Fibonacci sequence. Zbl 1276.11024
Pintér, Ákos; Ziegler, Volker
2012
On linear combinations of units with bounded coefficients. Zbl 1235.11100
Thuswaldner, Jörg; Ziegler, Volker
2011
Pethő, Attila; Ziegler, Volker
2011
Metric discrepancy theory, functions of bounded variation and gcd sums. Zbl 1313.11088
Aistleitner, Christoph; Mayer, Philipp A.; Ziegler, Volker
2010
On Thue equations of splitting type over function fields. Zbl 1211.11043
Ziegler, Volker
2010
On quantitative aspects of the unit sum number problem. Zbl 1250.11090
Fuchs, Clemens; Tichy, Robert; Ziegler, Volker
2009
The additive unit structure of pure quartic complex fields. Zbl 1260.11064
Filipin, Alan; Tichy, Robert; Ziegler, Volker
2008
Arithmetic progressions on Pell equations. Zbl 1142.11016
Pethő, A.; Ziegler, V.
2008
Ziegler, Volker
2008
On the quantitative unit sum number problem – an application of the subspace theorem. Zbl 1229.11128
Filipin, Alan; Tichy, Robert; Ziegler, Volker
2008
Graphs, partitions and Fibonacci numbers. Zbl 1121.05031
Knopfmacher, Arnold; Tichy, Robert F.; Wagner, Stephan; Ziegler, Volker
2007
Units generating the ring of integers of complex cubic fields. Zbl 1183.11016
Tichy, Robert F.; Ziegler, Volker
2007
Thomas’ conjecture over function fields. Zbl 1193.11030
Ziegler, Volker
2007
On corner avoidance properties of random-start Halton sequences. Zbl 1142.11058
Hartinger, Jürgen; Ziegler, Volker
2007
A system of relative Pellian equations and a related family of relative Thue equations. Zbl 1172.11009
2006
On a family of Thue equations over function fields. Zbl 1103.11009
Fuchs, Clemens; Ziegler, Volker
2006
Thomas’s family of Thue equations over functions fields. Zbl 1185.11020
Fuchs, Clemens; Ziegler, Volker
2006
On the distribution of the order of number field elements modulo prime ideals. Zbl 1147.11054
Ziegler, Volker
2006
Parameterized norm form equations with arithmetic progressions. Zbl 1201.11039
Bérczes, A.; Pethő, A.; Ziegler, V.
2006
On a family of relative quartic Thue inequalities. Zbl 1137.11021
Ziegler, Volker
2006
On a certain family of quartic Thue equations with three parameters. Zbl 1127.11026
Ziegler, Volker
2006
Automatic solution of families of Thue equations and an example of degree 8. Zbl 1137.11307
Heuberger, Clemens; Togbé, Alain; Ziegler, Volker
2005
On a family of cubics over imaginary quadratic fields. Zbl 1121.11029
Ziegler, Volker
2005
On the corner avoidance properties of various low-discrepancy sequences. Zbl 1087.11050
Hartinger, Jürgen; Kainhofer, Reinhold; Ziegler, Volker
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.
2003
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