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Thuswaldner, Jörg Maximilian

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Author ID: thuswaldner.jorg-maximilian Recent zbMATH articles by "Thuswaldner, Jörg Maximilian"
Published as: Thuswaldner, Jörg M.; Thuswaldner, Jörg; Thuswaldner, J. M.; Thuswaldner, Jörg Maximilian; Thuswaldner, J.
External Links: ORCID
Documents Indexed: 91 Publications since 1996, including 1 Book
all top 5

Serials

5 Journal of Number Theory
5 Indagationes Mathematicae. New Series
4 Annales de l’Institut Fourier
4 Monatshefte für Mathematik
4 Journal de Théorie des Nombres de Bordeaux
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Geometriae Dedicata
3 Topology and its Applications
3 Acta Mathematica Hungarica
3 Finite Fields and their Applications
2 Periodica Mathematica Hungarica
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Arithmetica
2 Advances in Mathematics
2 Mathematica Slovaca
2 Osaka Journal of Mathematics
2 Publicationes Mathematicae
2 Transactions of the American Mathematical Society
2 International Journal of Number Theory
1 Computers & Mathematics with Applications
1 Israel Journal of Mathematics
1 Mathematics of Computation
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Functiones et Approximatio. Commentarii Mathematici
1 Fundamenta Mathematicae
1 Mathematika
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Theoretical Computer Science
1 Ergodic Theory and Dynamical Systems
1 Journal of Symbolic Computation
1 Aequationes Mathematicae
1 Linear Algebra and its Applications
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Grazer Mathematische Berichte
1 Topology Proceedings
1 Fractals
1 Methods and Applications of Analysis
1 Journal of Difference Equations and Applications
1 The Journal of Fourier Analysis and Applications
1 The Ramanujan Journal
1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series
1 Integers
1 RIMS Kôkyûroku Bessatsu
1 ACM Transactions on Algorithms
1 Journal of Fractal Geometry

Publications by Year

Citations contained in zbMATH Open

78 Publications have been cited 542 times in 267 Documents Cited by Year
Generalized radix representations and dynamical systems. I. Zbl 1110.11003
Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M.
35
2005
A survey on topological properties of tiles related to number systems. Zbl 1073.37017
Akiyama, Shigeki; Thuswaldner, Jörg M.
30
2004
Dynamical directions in numeration. Zbl 1138.37005
Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg
30
2006
Topological properties of Rauzy fractals. Zbl 1229.28021
Siegel, Anne; Thuswaldner, Jörg M.
25
2009
Canonical number systems, counting automata and fractals. Zbl 1001.68070
Scheicher, Klaus; Thuswaldner, Jörg M.
22
2002
Generalized radix representations and dynamical systems. II. Zbl 1142.11055
Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M.
21
2006
The topological structure of fractal tilings generated by quadratic number systems. Zbl 1123.11004
Akiyama, Shigeki; Thuswaldner, J. M.
19
2005
Unimodular Pisot substitutions and their associated tiles. Zbl 1161.37016
Thuswaldner, Jörg M.
16
2006
Neighbours of self-affine tiles in lattice tilings. Zbl 1040.52013
Scheicher, Klaus; Thuswaldner, Jörg M.
15
2003
Topological properties of two-dimensional number systems. Zbl 1012.11072
Akiyama, Shigeki; Thuswaldner, Jörg M.
14
2000
On the boundary connectedness of connected tiles. Zbl 1070.37010
Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M.
14
2004
Digit systems in polynomial rings over finite fields. Zbl 1031.11003
Scheicher, Klaus; Thuswaldner, Jörg M.
13
2003
On the characterization of canonical number systems. Zbl 1161.11305
Scheicher, Klaus; Thuswaldner, Jörg M.
12
2004
Substitutions, Rauzy fractals and tilings. Zbl 1247.37015
Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg
12
2010
Normality of numbers generated by the values of entire functions. Zbl 1213.11151
Madritsch, Manfred G.; Thuswaldner, Jörg M.; Tichy, Robert F.
11
2008
On the fundamental group of the Sierpiński-gasket. Zbl 1182.57001
Akiyama, S.; Dorfer, G.; Thuswaldner, J. M.; Winkler, R.
11
2009
Fractal properties of number systems. Zbl 0980.11007
Müller, Wolfgang; Thuswaldner, Jörg M.; Tichy, Robert F.
10
2001
Self-affine manifolds. Zbl 1350.28009
Conner, Gregory R.; Thuswaldner, Jörg M.
9
2016
Attractors for invertible expanding linear operators and number systems in \(\mathbb Z^2\). Zbl 1012.11009
Thuswaldner, Jörg M.
8
2001
Analysis of linear combination algorithms in cryptography. Zbl 1321.68514
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut; Thuswaldner, Jörg M.
8
2005
The geometry of non-unit Pisot substitutions. (Géométrie des substitutions de type Pisot non unimodulaires.) Zbl 1309.05045
Minervino, Milton; Thuswaldner, Jörg
8
2014
On the sum of digits functions for number systems with negative bases. Zbl 0987.11007
Grabner, Peter J.; Thuswaldner, Jörg M.
8
2000
Fractal tiles associated with shift radix systems. Zbl 1221.11018
Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M.
8
2011
Recognizability for sequences of morphisms. Zbl 07114239
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem
7
2019
Number systems and tilings over Laurent series. Zbl 1194.11021
Beck, Tobias; Brunotte, Horst; Scheicher, Klaus; Thuswaldner, Jörg M.
7
2009
Waring’s problem with digital restrictions. Zbl 1132.11050
Thuswaldner, Jörg M.; Tichy, Robert F.
7
2005
Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) Zbl 1433.37010
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
7
2019
The moments of the sum-of-digits function in number fields. Zbl 1011.11009
Gittenberger, Bernhard; Thuswaldner, Jörg M.
6
1999
On the digits of shifted primes. (Sur les chiffres des nombres premiers translatés.) Zbl 1353.11012
Ouled Azaiez, Najib; Mkaouar, Mohamed; Thuswaldner, Jörg M.
6
2014
Shift radix systems – a survey. Zbl 1352.11014
Kirschenhofer, Peter; Thuswaldner, Jörg M.
6
2014
Digit systems over commutative rings. Zbl 1318.11008
Scheicher, Klaus; Surer, Paul; Thuswaldner, Jörg M.; Van de Woestijne, Christiaan E.
6
2014
Asymptotic normality of \(b\)-additive functions on polynomial sequences in the Gaussian number field. Zbl 0989.11040
Gittenberger, Bernhard; Thuswaldner, Jörg M.
6
2000
Tilings induced by a class of cubic Rauzy fractals. Zbl 1271.37014
Loridant, B.; Messaoudi, A.; Surer, P.; Thuswaldner, J. M.
6
2013
On a generalization of the radix representation – a survey. Zbl 1135.11007
Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M.
5
2004
Generalized radix representations and dynamical systems. III. Zbl 1217.11007
Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M.
5
2008
Three-dimensional symmetric shift radix systems. Zbl 1143.11006
Huszti, Andrea; Scheicher, Klaus; Surer, Paul; Thuswaldner, Jörg M.
5
2007
Topology of crystallographic tiles. Zbl 1135.52008
Loridant, Benoit; Luo, Jun; Thuswaldner, Jörg M.
5
2007
Generalized radix representations and dynamical systems. IV. Zbl 1190.11041
Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M.
5
2008
The sum of digits function in number fields: distribution in residue classes. Zbl 0932.11068
Thuswaldner, Jörg M.
4
1999
Distribution properties of digital expansions arising from linear recurrences. Zbl 1048.11066
Lamberger, Mario; Thuswaldner, Jörg M.
4
2003
Summatory functions of digital sums occurring in cryptography. Zbl 0936.11009
Thuswaldner, Jörg M.
4
1999
Rational self-affine tiles. Zbl 1329.52019
Steiner, Wolfgang; Thuswaldner, Jörg M.
4
2015
Fundamental groups of one-dimensional spaces. Zbl 1312.55013
Dorfer, Gerhard; Thuswaldner, Jörg M.; Winkler, Reinhard
4
2013
Characterisation of the numbers which satisfy the height reducing property. Zbl 1308.11096
Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik
4
2015
Comments on the height reducing property. II. Zbl 1308.11097
Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik
4
2015
Finite and periodic orbits of shift radix systems. Zbl 1223.11012
Kirschenhofer, Peter; Pethő, Attila; Surer, Paul; Thuswaldner, Jörg
4
2010
On the fundamental group of self-affine plane tiles. Zbl 1119.52012
Luo, Jun; Thuswaldner, Jörg M.
4
2006
The sum of digits function in number fields. Zbl 0921.11051
Thuswaldner, Jörg M.
3
1998
Fractal dimension of sets induced by bases of imaginary quadratic fields. Zbl 0956.11022
Thuswaldner, Jörg M.
3
1998
Fractals and number systems in real quadratic number fields. Zbl 0980.11050
Thuswaldner, J. M.
3
2001
An Erdős-Kac theorem for systems of \(q\)-additive functions. Zbl 0988.11037
Thuswaldner, Jörg M.; Tichy, Robert F.
3
2000
Weyl sums in \(\mathbb F_q[x]\) with digital restrictions. Zbl 1176.11066
Madritsch, Manfred G.; Thuswaldner, Jörg M.
3
2008
Interior components of a tile associated to a quadratic canonical number system. Zbl 1148.28009
Loridant, Benoit; Thuswaldner, Jörg M.
3
2008
On a family of three term nonlinear integer recurrences. Zbl 1230.11014
Kirschenhofer, P.; Pethö, A.; Thuswaldner, J. M.
3
2008
Interior components of a tile associated to a quadratic canonical number system. II. Zbl 1207.11017
Bernat, Julien; Loridant, Benoît; Thuswaldner, Jörg
3
2010
On linear combinations of units with bounded coefficients. Zbl 1235.11100
Thuswaldner, Jörg; Ziegler, Volker
3
2011
The complex sum of digits function and primes. Zbl 1012.11071
Thuswaldner, Jörg M.
2
2000
The \(S\)-adic Pisot conjecture on two letters. Zbl 1368.37020
Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg
2
2016
A new criterion for disk-like crystallographic reptiles. Zbl 1404.28013
Loridant, Benoît; Luo, Jun; Thuswaldner, Jörg M.
2
2007
Analytic continuation of a class of Dirichlet series. Zbl 0879.11047
Grabner, P. J.; Thuswaldner, J. M.
2
1996
Number systems over orders. Zbl 1437.11014
Pethő, Attila; Thuswaldner, Jörg
2
2018
On disk-like self-affine tiles arising from polyominoes. Zbl 1140.28300
Gmainer, Johannes; Thuswaldner, Jörg M.
2
2006
Similar dissection of sets. Zbl 1226.52006
Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg
2
2011
Waring’s problem restricted by a system of sum of digits congruences. Zbl 1132.11360
Pfeiffer, Oliver; Thuswaldner, Jörg M.
2
2007
Contractivity of three-dimensional shift radix systems with finiteness property. Zbl 1303.11019
Brunotte, Horst; Kirschenhofer, Peter; Thuswaldner, Jörg M.
2
2012
The fundamental lemma of Kubilius and the model of Kubilius in number fields. Zbl 0914.11051
Thuswaldner, Jörg M.
1
1998
Salem numbers from a class of star-like trees. Zbl 1325.11075
Brunotte, Horst; Thuswaldner, Jörg M.
1
2015
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 a variant of the Kakeya problem in \(\mathbb{R}\). Zbl 1281.28003
Deng, Yu-long; Hu, Caihong; Long, Shunchao; Tang, Tai-Man; Thuswaldner, Jörg; Xi, Lifeng
1
2013
Patterns in rational base number systems. Zbl 1320.11006
Morgenbesser, Johannes F.; Steiner, Wolfgang; Thuswaldner, Jörg M.
1
2013
Number systems over general orders. Zbl 1437.11012
Evertse, J. H.; Győry, K.; Pethő, A.; Thuswaldner, J. M.
1
2019
On cut sets of attractors of iterated function systems. Zbl 1355.28017
Loridant, Benoît; Luo, Jun; Sellami, Tarek; Thuswaldner, Jörg M.
1
2016
Characterization of rational matrices that admit finite digit representations. Zbl 1441.11017
Jankauskas, J.; Thuswaldner, J. M.
1
2018
Distribution results on polynomials with bounded roots. Zbl 1403.05009
Kirschenhofer, Peter; Thuswaldner, Jörg
1
2018
Shift radix systems for Gaussian integers and Pethő’s Loudspeaker. Zbl 1249.11013
Brunotte, Horst; Kirschenhofer, Peter; Thuswaldner, Jörg M.
1
2011
Additive functions for number systems in function fields. Zbl 1203.11011
Madritsch, Manfred G.; Thuswaldner, Jörg M.
1
2010
\(S\)-adic sequences: a bridge between dynamics, arithmetic, and geometry. Zbl 1457.37014
Thuswaldner, Jörg M.
1
2020
On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 07298459
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
1
2021
On the second Lyapunov exponent of some multidimensional continued fraction algorithms. Zbl 07298459
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
1
2021
\(S\)-adic sequences: a bridge between dynamics, arithmetic, and geometry. Zbl 1457.37014
Thuswaldner, Jörg M.
1
2020
Recognizability for sequences of morphisms. Zbl 07114239
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem
7
2019
Geometry, dynamics, and arithmetic of \(S\)-adic shifts. (Géométrie, dynamique, et arithmétique des décalages \(S\)-adiques.) Zbl 1433.37010
Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.
7
2019
Number systems over general orders. Zbl 1437.11012
Evertse, J. H.; Győry, K.; Pethő, A.; Thuswaldner, J. M.
1
2019
Number systems over orders. Zbl 1437.11014
Pethő, Attila; Thuswaldner, Jörg
2
2018
Characterization of rational matrices that admit finite digit representations. Zbl 1441.11017
Jankauskas, J.; Thuswaldner, J. M.
1
2018
Distribution results on polynomials with bounded roots. Zbl 1403.05009
Kirschenhofer, Peter; Thuswaldner, Jörg
1
2018
Self-affine manifolds. Zbl 1350.28009
Conner, Gregory R.; Thuswaldner, Jörg M.
9
2016
The \(S\)-adic Pisot conjecture on two letters. Zbl 1368.37020
Berthé, Valérie; Minervino, Milton; Steiner, Wolfgang; Thuswaldner, Jörg
2
2016
On cut sets of attractors of iterated function systems. Zbl 1355.28017
Loridant, Benoît; Luo, Jun; Sellami, Tarek; Thuswaldner, Jörg M.
1
2016
Rational self-affine tiles. Zbl 1329.52019
Steiner, Wolfgang; Thuswaldner, Jörg M.
4
2015
Characterisation of the numbers which satisfy the height reducing property. Zbl 1308.11096
Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik
4
2015
Comments on the height reducing property. II. Zbl 1308.11097
Akiyama, Shigeki; Thuswaldner, Jörg M.; Zaïmi, Toufik
4
2015
Salem numbers from a class of star-like trees. Zbl 1325.11075
Brunotte, Horst; Thuswaldner, Jörg M.
1
2015
The geometry of non-unit Pisot substitutions. (Géométrie des substitutions de type Pisot non unimodulaires.) Zbl 1309.05045
Minervino, Milton; Thuswaldner, Jörg
8
2014
On the digits of shifted primes. (Sur les chiffres des nombres premiers translatés.) Zbl 1353.11012
Ouled Azaiez, Najib; Mkaouar, Mohamed; Thuswaldner, Jörg M.
6
2014
Shift radix systems – a survey. Zbl 1352.11014
Kirschenhofer, Peter; Thuswaldner, Jörg M.
6
2014
Digit systems over commutative rings. Zbl 1318.11008
Scheicher, Klaus; Surer, Paul; Thuswaldner, Jörg M.; Van de Woestijne, Christiaan E.
6
2014
Tilings induced by a class of cubic Rauzy fractals. Zbl 1271.37014
Loridant, B.; Messaoudi, A.; Surer, P.; Thuswaldner, J. M.
6
2013
Fundamental groups of one-dimensional spaces. Zbl 1312.55013
Dorfer, Gerhard; Thuswaldner, Jörg M.; Winkler, Reinhard
4
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 a variant of the Kakeya problem in \(\mathbb{R}\). Zbl 1281.28003
Deng, Yu-long; Hu, Caihong; Long, Shunchao; Tang, Tai-Man; Thuswaldner, Jörg; Xi, Lifeng
1
2013
Patterns in rational base number systems. Zbl 1320.11006
Morgenbesser, Johannes F.; Steiner, Wolfgang; Thuswaldner, Jörg M.
1
2013
Contractivity of three-dimensional shift radix systems with finiteness property. Zbl 1303.11019
Brunotte, Horst; Kirschenhofer, Peter; Thuswaldner, Jörg M.
2
2012
Fractal tiles associated with shift radix systems. Zbl 1221.11018
Berthé, Valérie; Siegel, Anne; Steiner, Wolfgang; Surer, Paul; Thuswaldner, Jörg M.
8
2011
On linear combinations of units with bounded coefficients. Zbl 1235.11100
Thuswaldner, Jörg; Ziegler, Volker
3
2011
Similar dissection of sets. Zbl 1226.52006
Akiyama, Shigeki; Luo, Jun; Okazaki, Ryotaro; Steiner, Wolfgang; Thuswaldner, Jörg
2
2011
Shift radix systems for Gaussian integers and Pethő’s Loudspeaker. Zbl 1249.11013
Brunotte, Horst; Kirschenhofer, Peter; Thuswaldner, Jörg M.
1
2011
Substitutions, Rauzy fractals and tilings. Zbl 1247.37015
Berthé, Valérie; Siegel, Anne; Thuswaldner, Jörg
12
2010
Finite and periodic orbits of shift radix systems. Zbl 1223.11012
Kirschenhofer, Peter; Pethő, Attila; Surer, Paul; Thuswaldner, Jörg
4
2010
Interior components of a tile associated to a quadratic canonical number system. II. Zbl 1207.11017
Bernat, Julien; Loridant, Benoît; Thuswaldner, Jörg
3
2010
Additive functions for number systems in function fields. Zbl 1203.11011
Madritsch, Manfred G.; Thuswaldner, Jörg M.
1
2010
Topological properties of Rauzy fractals. Zbl 1229.28021
Siegel, Anne; Thuswaldner, Jörg M.
25
2009
On the fundamental group of the Sierpiński-gasket. Zbl 1182.57001
Akiyama, S.; Dorfer, G.; Thuswaldner, J. M.; Winkler, R.
11
2009
Number systems and tilings over Laurent series. Zbl 1194.11021
Beck, Tobias; Brunotte, Horst; Scheicher, Klaus; Thuswaldner, Jörg M.
7
2009
Normality of numbers generated by the values of entire functions. Zbl 1213.11151
Madritsch, Manfred G.; Thuswaldner, Jörg M.; Tichy, Robert F.
11
2008
Generalized radix representations and dynamical systems. III. Zbl 1217.11007
Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M.
5
2008
Generalized radix representations and dynamical systems. IV. Zbl 1190.11041
Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M.
5
2008
Weyl sums in \(\mathbb F_q[x]\) with digital restrictions. Zbl 1176.11066
Madritsch, Manfred G.; Thuswaldner, Jörg M.
3
2008
Interior components of a tile associated to a quadratic canonical number system. Zbl 1148.28009
Loridant, Benoit; Thuswaldner, Jörg M.
3
2008
On a family of three term nonlinear integer recurrences. Zbl 1230.11014
Kirschenhofer, P.; Pethö, A.; Thuswaldner, J. M.
3
2008
Three-dimensional symmetric shift radix systems. Zbl 1143.11006
Huszti, Andrea; Scheicher, Klaus; Surer, Paul; Thuswaldner, Jörg M.
5
2007
Topology of crystallographic tiles. Zbl 1135.52008
Loridant, Benoit; Luo, Jun; Thuswaldner, Jörg M.
5
2007
A new criterion for disk-like crystallographic reptiles. Zbl 1404.28013
Loridant, Benoît; Luo, Jun; Thuswaldner, Jörg M.
2
2007
Waring’s problem restricted by a system of sum of digits congruences. Zbl 1132.11360
Pfeiffer, Oliver; Thuswaldner, Jörg M.
2
2007
Dynamical directions in numeration. Zbl 1138.37005
Barat, Guy; Berthé, Valérie; Liardet, Pierre; Thuswaldner, Jörg
30
2006
Generalized radix representations and dynamical systems. II. Zbl 1142.11055
Akiyama, Shigeki; Brunotte, Horst; Pethő, Attila; Thuswaldner, Jörg M.
21
2006
Unimodular Pisot substitutions and their associated tiles. Zbl 1161.37016
Thuswaldner, Jörg M.
16
2006
On the fundamental group of self-affine plane tiles. Zbl 1119.52012
Luo, Jun; Thuswaldner, Jörg M.
4
2006
On disk-like self-affine tiles arising from polyominoes. Zbl 1140.28300
Gmainer, Johannes; Thuswaldner, Jörg M.
2
2006
Generalized radix representations and dynamical systems. I. Zbl 1110.11003
Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M.
35
2005
The topological structure of fractal tilings generated by quadratic number systems. Zbl 1123.11004
Akiyama, Shigeki; Thuswaldner, J. M.
19
2005
Analysis of linear combination algorithms in cryptography. Zbl 1321.68514
Grabner, Peter J.; Heuberger, Clemens; Prodinger, Helmut; Thuswaldner, Jörg M.
8
2005
Waring’s problem with digital restrictions. Zbl 1132.11050
Thuswaldner, Jörg M.; Tichy, Robert F.
7
2005
A survey on topological properties of tiles related to number systems. Zbl 1073.37017
Akiyama, Shigeki; Thuswaldner, Jörg M.
30
2004
On the boundary connectedness of connected tiles. Zbl 1070.37010
Luo, Jun; Akiyama, Shigeki; Thuswaldner, Jörg M.
14
2004
On the characterization of canonical number systems. Zbl 1161.11305
Scheicher, Klaus; Thuswaldner, Jörg M.
12
2004
On a generalization of the radix representation – a survey. Zbl 1135.11007
Akiyama, S.; Borbély, T.; Brunotte, H.; Pethő, A.; Thuswaldner, J. M.
5
2004
Neighbours of self-affine tiles in lattice tilings. Zbl 1040.52013
Scheicher, Klaus; Thuswaldner, Jörg M.
15
2003
Digit systems in polynomial rings over finite fields. Zbl 1031.11003
Scheicher, Klaus; Thuswaldner, Jörg M.
13
2003
Distribution properties of digital expansions arising from linear recurrences. Zbl 1048.11066
Lamberger, Mario; Thuswaldner, Jörg M.
4
2003
Canonical number systems, counting automata and fractals. Zbl 1001.68070
Scheicher, Klaus; Thuswaldner, Jörg M.
22
2002
Fractal properties of number systems. Zbl 0980.11007
Müller, Wolfgang; Thuswaldner, Jörg M.; Tichy, Robert F.
10
2001
Attractors for invertible expanding linear operators and number systems in \(\mathbb Z^2\). Zbl 1012.11009
Thuswaldner, Jörg M.
8
2001
Fractals and number systems in real quadratic number fields. Zbl 0980.11050
Thuswaldner, J. M.
3
2001
Topological properties of two-dimensional number systems. Zbl 1012.11072
Akiyama, Shigeki; Thuswaldner, Jörg M.
14
2000
On the sum of digits functions for number systems with negative bases. Zbl 0987.11007
Grabner, Peter J.; Thuswaldner, Jörg M.
8
2000
Asymptotic normality of \(b\)-additive functions on polynomial sequences in the Gaussian number field. Zbl 0989.11040
Gittenberger, Bernhard; Thuswaldner, Jörg M.
6
2000
An Erdős-Kac theorem for systems of \(q\)-additive functions. Zbl 0988.11037
Thuswaldner, Jörg M.; Tichy, Robert F.
3
2000
The complex sum of digits function and primes. Zbl 1012.11071
Thuswaldner, Jörg M.
2
2000
The moments of the sum-of-digits function in number fields. Zbl 1011.11009
Gittenberger, Bernhard; Thuswaldner, Jörg M.
6
1999
The sum of digits function in number fields: distribution in residue classes. Zbl 0932.11068
Thuswaldner, Jörg M.
4
1999
Summatory functions of digital sums occurring in cryptography. Zbl 0936.11009
Thuswaldner, Jörg M.
4
1999
The sum of digits function in number fields. Zbl 0921.11051
Thuswaldner, Jörg M.
3
1998
Fractal dimension of sets induced by bases of imaginary quadratic fields. Zbl 0956.11022
Thuswaldner, Jörg M.
3
1998
The fundamental lemma of Kubilius and the model of Kubilius in number fields. Zbl 0914.11051
Thuswaldner, Jörg M.
1
1998
Analytic continuation of a class of Dirichlet series. Zbl 0879.11047
Grabner, P. J.; Thuswaldner, J. M.
2
1996
all top 5

Cited by 254 Authors

48 Thuswaldner, Jörg Maximilian
25 Akiyama, Shigeki
17 Madritsch, Manfred G.
15 Loridant, Benoit
13 Pethő, Attila
11 Scheicher, Klaus
10 Berthé, Valérie
10 Heuberger, Clemens
10 Sirvent, Víctor F.
10 Surer, Paul
9 Luo, Jun
9 Steiner, Wolfgang
7 Prodinger, Helmut
6 Brunotte, Horst
6 Lau, Kasing
6 Mkaouar, Mohamed
5 Miller, Steven J.
5 Ngai, Sze-Man
5 Sellami, Tarek
5 Ziegler, Volker
4 Jankauskas, Jonas
4 Kirschenhofer, Peter
4 Kropf, Sara
4 Leung, King-Shun
4 Luo, Jun Jason
4 Minervino, Milton
4 Rao, Hui
4 Tichy, Robert Franz
4 Vávra, Tomáš
4 Vince, Andrew
4 Wagner, Stephan G.
3 Aloui, Karam
3 Bandt, Christoph
3 Barat, Guy
3 Barnsley, Michael Fielding
3 Conner, Gregory R.
3 Drungilas, Paulius
3 Durand, Fabien
3 Kátai, Imre
3 Kirat, Ibrahim
3 Mekhontsev, Dmitry
3 Morgenbesser, Johannes F.
3 Rigo, Michel
3 Siegel, Anne
3 Solomyak, Boris
3 van de Woestijne, Christiaan E.
3 Vivaldi, Franco
3 Wannes, Walid
3 Zaïmi, Toufik Mostepha
2 Amri, Mohammed Amin
2 Bernat, Julien
2 Bondarenko, Ievgen V.
2 Bufetov, Aleksandr Igorevich
2 Caalim, Jonathan V.
2 De Koninck, Jean-Marie
2 Deng, Guotai
2 Deng, Qirong
2 Dubickas, Artūras
2 Fischer, Hanspeter
2 Grabner, Peter J.
2 Hejda, Tomáš
2 Ito, Shunji
2 Kravchenko, Rostyslav V.
2 Krenn, Daniel
2 Lai, Chun-Kit
2 Leroy, Julien
2 Liu, Chuntai
2 Liu, Jingcheng
2 Mance, Bill
2 Masáková, Zuzana
2 Messaoudi, Ali
2 Muir, James A.
2 Pelantová, Edita
2 Petite, Samuel
2 Shiokawa, Iekata
2 Šiurys, Jonas
2 Vandehey, Joseph
2 Wang, Lian
2 Wang, Shuailing
2 Weitzer, Mario
2 Zastrow, Andreas
2 Zhang, Shuqin
1 Abram, William C.
1 Ahmad, Shahzad
1 Airey, Dylan
1 Alwani, Fairuz
1 Ammar, Hamdi
1 An, Lixiang
1 Arnoux, Pierre
1 Artamonov, Vyacheslav Aleksandrovich
1 Baake, Michael
1 Baker, Simon
1 Baker, Veronica
1 Banakh, Taras Onufrievich
1 Barge, Marcy M.
1 Beck, Tobias
1 Ben-Ari, Iddo
1 Berend, Daniel
1 Bower, Amanda
1 Brazas, Jeremy
...and 154 more Authors
all top 5

Cited in 90 Serials

19 Monatshefte für Mathematik
17 Journal of Number Theory
10 Discrete & Computational Geometry
9 Journal of Mathematical Analysis and Applications
9 Transactions of the American Mathematical Society
8 Theoretical Computer Science
8 Indagationes Mathematicae. New Series
8 Finite Fields and their Applications
8 International Journal of Number Theory
7 Advances in Mathematics
7 Annales de l’Institut Fourier
7 Journal de Théorie des Nombres de Bordeaux
6 Geometriae Dedicata
6 Acta Mathematica Hungarica
5 Osaka Journal of Mathematics
5 Topology and its Applications
5 Fractals
4 Mathematics of Computation
4 Proceedings of the American Mathematical Society
4 Ergodic Theory and Dynamical Systems
4 Discrete and Continuous Dynamical Systems
3 Israel Journal of Mathematics
3 Acta Arithmetica
3 European Journal of Combinatorics
3 The Electronic Journal of Combinatorics
3 Journal of Fractal Geometry
2 Bulletin of the Australian Mathematical Society
2 Periodica Mathematica Hungarica
2 The Mathematical Intelligencer
2 Archiv der Mathematik
2 Functiones et Approximatio. Commentarii Mathematici
2 Journal of Combinatorial Theory. Series A
2 Journal of the Mathematical Society of Japan
2 Mathematica Scandinavica
2 Mathematica Slovaca
2 Quaestiones Mathematicae
2 Advances in Applied Mathematics
2 Mathematical and Computer Modelling
2 SIAM Journal on Discrete Mathematics
2 Linear Algebra and its Applications
2 Experimental Mathematics
2 Journal of Difference Equations and Applications
2 The Ramanujan Journal
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Science China. Mathematics
2 Research in Number Theory
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Chaos, Solitons and Fractals
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Computing
1 Fundamenta Mathematicae
1 Journal of Algebra
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Mathematika
1 Nagoya Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Tokyo Journal of Mathematics
1 Bulletin of the Korean Mathematical Society
1 Physica D
1 International Journal of Foundations of Computer Science
1 Designs, Codes and Cryptography
1 Combinatorics, Probability and Computing
1 Sbornik: Mathematics
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Taiwanese Journal of Mathematics
1 Chaos
1 Annales Henri Poincaré
1 Integers
1 Dynamical Systems
1 Central European Journal of Mathematics
1 Chebyshevskiĭ Sbornik
1 Journal of Mathematical Cryptology
1 Journal of Homotopy and Related Structures
1 Logical Methods in Computer Science
1 Acta Universitatis Sapientiae. Informatica
1 Probability Surveys
1 Bulletin of Mathematical Sciences
1 Journal of Mathematics
1 Special Matrices
1 Journal de l’École Polytechnique – Mathématiques
1 Actes des Rencontres du C.I.R.M.

Citations by Year