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1

The Sum of Digits Function in Number Fields: Distribution in Residue Classes

Jörg M Thuswaldner

Journal:

Journal of Number Theory

Year:

1999

Language:

english

File:

PDF, 153 KB

english, 1999

2

Fractal properties of number systems

Wolfgang Müller, Jörg M. Thuswaldner, Robert F. Tichy

Journal:

Periodica Mathematica Hungarica

Year:

2001

Language:

english

File:

PDF, 392 KB

english, 2001

3

Asymptotic Normality of b-Additive Functions on Polynomial Sequences in the Gaussian Number Field

Bernhard Gittenberger, Jörg M Thuswaldner

Journal:

Journal of Number Theory

Year:

2000

Language:

english

File:

PDF, 246 KB

english, 2000

4

Fractal tiles associated with shift radix systems

Valérie Berthé, Anne Siegel, Wolfgang Steiner, Paul Surer, Jörg M. Thuswaldner

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 895 KB

english, 2011

5

Normality of numbers generated by the values of entire functions

Manfred G. Madritsch, Jörg M. Thuswaldner, Robert F. Tichy

Journal:

Journal of Number Theory

Year:

2008

Language:

english

File:

PDF, 180 KB

english, 2008

6

Digit systems in polynomial rings over finite fields

Klaus Scheicher, Jörg M. Thuswaldner

Journal:

Finite Fields and Their Applications

Year:

2003

Language:

english

File:

PDF, 167 KB

english, 2003

7

Generalized radix representations and dynamical systems. I

Shigeki Akiyama, Tibor Borbély, Horst Brunotte, Attila Pethő, Jörg M. Thuswaldner

Journal:

Acta Mathematica Hungarica

Year:

2005

Language:

english

File:

PDF, 347 KB

english, 2005

8

On The Sum of Digits Function for Number Systems with Negative Bases

Peter J. Grabner, Jörg M. Thuswaldner

Journal:

The Ramanujan Journal

Year:

2000

Language:

english

File:

PDF, 120 KB

english, 2000

9

On the Fibonacci–Mandelbrot set

Sirvent, Víctor F., Thuswaldner, Jörg M.

Journal:

Indagationes Mathematicae

Year:

2015

Language:

english

File:

PDF, 2.72 MB

english, 2015

10

Digit systems over commutative rings

Scheicher, Klaus, Surer, Paul, Thuswaldner, Jörg M., Van de Woestijne, Christiaan E.

Journal:

International Journal of Number Theory

Year:

2014

Language:

english

File:

PDF, 303 KB

english, 2014

11

Canonical number systems, counting automata and fractals

SCHEICHER, KLAUS, THUSWALDNER, JÖRG M.

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2002

Language:

english

File:

PDF, 588 KB

english, 2002

12

Salem numbers from a class of star-like trees

Brunotte, Horst, Thuswaldner, Jörg M.

Journal:

Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 299 KB

english, 2015

13

Analysis of linear combination algorithms in cryptography

Grabner, Peter J., Heuberger, Clemens, Prodinger, Helmut, Thuswaldner, Jörg M.

Journal:

ACM Transactions on Algorithms

Year:

2005

Language:

english

File:

PDF, 375 KB

english, 2005

14

Self-affine manifolds

Conner, Gregory R., Thuswaldner, Jörg M.

Journal:

Advances in Mathematics

Year:

2016

Language:

english

File:

PDF, 2.32 MB

english, 2016

15

Rational digit systems over finite fields and Christol's Theorem

Loquias, Manuel Joseph C., Mkaouar, Mohamed, Scheicher, Klaus, Thuswaldner, Jörg M.

Journal:

Journal of Number Theory

Year:

2017

Language:

english

File:

PDF, 621 KB

english, 2017

16

Weyl sums in with digital restrictions

Manfred G. Madritsch, Jörg M. Thuswaldner

Journal:

Finite Fields and Their Applications

Year:

2008

Language:

english

File:

PDF, 215 KB

english, 2008

17

Additive functions for number systems in function fields

Manfred G. Madritsch, Jörg M. Thuswaldner

Journal:

Finite Fields and Their Applications

Year:

2010

Language:

english

File:

PDF, 308 KB

english, 2010

18

Elements of small norm in Shanks’ cubic extensions of imaginary quadratic fields

Peter Kirschenhofer, Jörg M. Thuswaldner

Journal:

Journal of Symbolic Computation

Year:

2004

Language:

english

File:

PDF, 194 KB

english, 2004

19

Interior components of a tile associated to a quadratic canonical number system

Benoit Loridant, Jörg M. Thuswaldner

Journal:

Topology and its Applications

Year:

2008

Language:

english

File:

PDF, 418 KB

english, 2008

20

An Erdős-Kac theorem for systems of q-additive functions

Jörg M Thuswaldner, Robert F Tichy

Journal:

Indagationes Mathematicae

Year:

2000

Language:

english

File:

PDF, 442 KB

english, 2000

21

Generalized radix representations and dynamical systems. IV

Shigeki Akiyama, Horst Brunotte, Attila Pethő, Jörg M. Thuswaldner

Journal:

Indagationes Mathematicae

Year:

2008

Language:

english

File:

PDF, 903 KB

english, 2008

22

Waring’s problem with digital restrictions

Jörg M. Thuswaldner, Robert F. Tichy

Journal:

Israel Journal of Mathematics

Year:

2005

Language:

english

File:

PDF, 898 KB

english, 2005

23

Journées de Numération, Graz University of Technology, April 16–20, 2007

Pierre Arnoux, Guy Barat, Peter J. Grabner, Jörg M. Thuswaldner

Journal:

Monatshefte für Mathematik

Year:

2008

Language:

english

File:

PDF, 84 KB

english, 2008

24

A Survey on Topological Properties of Tiles Related to Number Systems

Shigeki Akiyama, Jörg M. Thuswaldner

Journal:

Geometriae Dedicata

Year:

2004

Language:

english

File:

PDF, 2.76 MB

english, 2004

25

Topology of crystallographic tiles

Benoit Loridant, Jun Luo, Jörg M. Thuswaldner

Journal:

Geometriae Dedicata

Year:

2007

Language:

english

File:

PDF, 886 KB

english, 2007

26

Similar dissection of sets

Shigeki Akiyama, Jun Luo, Ryotaro Okazaki, Wolfgang Steiner, Jörg Thuswaldner

Journal:

Geometriae Dedicata

Year:

2011

Language:

english

File:

PDF, 673 KB

english, 2011

27

Polydimensional modelling of dendritic growth and microsegregation in multicomponent alloys

Sebastian C. Michelic, Jörg M. Thuswaldner, Christian Bernhard

Journal:

Acta Materialia

Year:

2010

Language:

english

File:

PDF, 2.09 MB

english, 2010

28

Summatory Functions of Digital Sums Occurring in Cryptography

Jörg M. Thuswaldner

Journal:

Periodica Mathematica Hungarica

Year:

1999

File:

PDF, 504 KB

1999

29

Waring's Problem Restricted by a System of Sum of Digits Congruences

Pfeiffer, Oliver, Thuswaldner, Jörg M.

Journal:

Quaestiones Mathematicae

Year:

2007

Language:

english

File:

PDF, 205 KB

english, 2007

30

On linear combinations of units with bounded coefficients and double-base digit expansions

Daniel Krenn, Jörg Thuswaldner, Volker Ziegler

Journal:

Monatshefte für Mathematik

Year:

2013

Language:

english

File:

PDF, 197 KB

english, 2013

31

Characterisation of the numbers which satisfy the height reducing property

Akiyama, Shigeki, Thuswaldner, Jörg M., Zaïmi, Toufik

Journal:

Indagationes Mathematicae

Year:

2015

Language:

english

File:

PDF, 283 KB

english, 2015

32

Comments on the height reducing property II

Akiyama, Shigeki, Thuswaldner, Jörg M., Zaïmi, Toufik

Journal:

Indagationes Mathematicae

Year:

2015

Language:

english

File:

PDF, 387 KB

english, 2015

33

INTERIOR COMPONENTS OF A TILE ASSOCIATED TO A QUADRATIC CANONICAL NUMBER SYSTEM — PART II

BERNAT, JULIEN, LORIDANT, BENOÎT, THUSWALDNER, JÖRG

Journal:

Year:

2010

Language:

english

File:

PDF, 345 KB

english, 2010

34

Rational self-affine tiles

Steiner, Wolfgang, Thuswaldner, Jörg M.

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 786 KB

english, 2015

35

Number systems and tilings over Laurent series

BECK, TOBIAS, BRUNOTTE, HORST, SCHEICHER, KLAUS, THUSWALDNER, JÖRG M.

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2009

Language:

english

File:

PDF, 372 KB

english, 2009

36

On the boundary connectedness of connected tiles

LUO, JUN, AKIYAMA, SHIGEKI, THUSWALDNER, JÖRG M.

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2004

Language:

english

File:

PDF, 327 KB

english, 2004

37

Contractivity of three-dimensional shift radix systems with finiteness property

Brunotte, Horst, Kirschenhofer, Peter, Thuswaldner, Jörg M.

Journal:

Journal of Difference Equations and Applications

Year:

2012

Language:

english

File:

PDF, 832 KB

english, 2012

38

The S-adic Pisot conjecture on two letters

Berthé, Valérie, Minervino, Milton, Steiner, Wolfgang, Thuswaldner, Jörg

Journal:

Topology and its Applications

Year:

2016

Language:

english

File:

PDF, 385 KB

english, 2016

39

ON LINEAR COMBINATIONS OF UNITS WITH BOUNDED COEFFICIENTS

Thuswaldner, Jörg, Ziegler, Volker

Journal:

Year:

2011

Language:

english

File:

PDF, 180 KB

english, 2011

40

On cut sets of attractors of iterated function systems

Loridant, Benoît, Luo, Jun, Sellami, Tarek, Thuswaldner, Jörg M.

Journal:

Proceedings of the American Mathematical Society

Year:

2016

Language:

english

File:

PDF, 1.01 MB

english, 2016

41

Sur les chiffres des nombres premiers translatés

Mkaouar, Mohamed, Azaiez, Najib Ouled, Thuswaldner, Jörg M.

Journal:

Functiones et Approximatio Commentarii Mathematici

Year:

2014

Language:

french

File:

PDF, 622 KB

french, 2014

42

Recognizability for sequences of morphisms

BERTHÉ, VALÉRIE, STEINER, WOLFGANG, THUSWALDNER, JÖRG M., YASSAWI, REEM

Journal:

Ergodic Theory and Dynamical Systems

Year:

2018

Language:

english

File:

PDF, 344 KB

english, 2018

43

Number systems over orders

Pethő, Attila, Thuswaldner, Jörg

Journal:

Monatshefte für Mathematik

Year:

2018

File:

PDF, 593 KB

2018

44

The Moments of the Sum-Of-Digits Function in Number Fields

Gittenberger, Bernhard, Thuswaldner, Jörg M.

Journal:

Canadian Mathematical Bulletin

Year:

1999

Language:

english

File:

PDF, 85 KB

english, 1999

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