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ao.Univ.Prof.Dipl.-Ing.Dr.techn. |
Sprechstunden: Di, Mi 10-11 |
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email: Joerg.Thuswaldner@unileoben.ac.at |
Publications
(Copyright of all papers either by the author or by the publisher)
1.)Analytic continuation of a class of Dirichlet series
Abh. Math. Semin. Univ.
2.) q-difference equations and their
applications to combinatorial problems
Grazer Math. Ber., 328 (1996), 103 - 112.
3.) The sum of digits function in number
fields
Bull.
4.) Asymptotic analysis of a class of
functional equations
Aequationes Math., 55 (1998), 91 - 105, with G. Derfel, R. F. Tichy and F. Vogl.
5.) Elementary properties of canonical
number systems in quadratic fields
in: Applications of Fibonacci Numbers, Volume 7, G. E. Bergum et al. (eds.), Kluwer
Academic Publishers, (1998), 405 - 414.
6.) The fundamental Lemma of Kubilius and the Model of Kubilius
in number fields
in: Number Theory, K. Györy et al. (eds.), W.
de Gruyter Verlag, (1998),
489 - 499.
7.) Fractal dimension of sets induced by
bases of imaginary quadratic fields
Math. Slovaca, 48 (1998), 365 - 371.
8.) The sum of digits function in number
fields: Distribution in residue classes
J. Number Theory, 74 (1999), 111 - 125.
9.) The moments of the sum of digits
function in number fields
Can. Math. Bull., 42 (1999), 68 - 77, with B. Gittenberger.
10.) Summatory functions of digital sums occurring in
cryptography
Period. Math. Hungar., 38 (1999), 111 - 130.
11.) An Erdös-Kac
Theorem for Systems of q-Additive Functions
Indag. Math. (N. S.), 11 (2000) 283 - 291, with R. F. Tichy.
12.) Topological properties of
two-dimensional number systems
J. Théor. Nombres Bordeaux, 12 (2000) 69 - 79, with S. Akiyama.
13.) The complex sum of digits function and primes
J. Théor. Nombres Bordeaux,
12 (2000) 133 - 146.
14.) On the Sum of Digits Function for
Number Systems With Negative Bases
Ramanujan J., 4 (2000) 201 - 220, with P. J. Grabner.
15.) Asymptotic Normality of b-Additive
Functions on Polynomial Sequences in the Gaussian Number Field
J. Number Theory, 84 (2000) 317 - 341, with B. Gittenberger.
16.) Fractals and Number Systems in Real
Quadratic Fields
Acta Math. Hungar., 90 (2001) 253 - 269.
17.) Fractal
Properties of Number Systems
Period. Math. Hungar., 42 (2001) 51 - 68, with W. Müller
and R. F. Tichy.
18.) Attractors for Invertible Expanding
Linear Operators and Number Systems in Z²
Publ. Math.
19.) Canonical number systems, counting
automata and fractals
Math. Proc. Cambridge Philos. Soc.,
133 (2002) 163 - 182, with K. Scheicher.
20.) Neighbours
of self-affine tiles in lattice tilings
in: Trends in Mathematics: Fractals in Graz 2001, P. Grabner
and
Birkhäuser Verlag (2002)
241 - 262, with K. Scheicher.
21.) Distribution
properties of digital expansions arising from linear recurrences
Math. Slovaca, 53 (2003) 1--20, with M. Lamberger.
22.) Digit systems in polynomial rings
over finite fields
Finite Fields Appl., 9 (2003), 322 - 333, with K. Scheicher.
23.) On the characterization of canonical
number systems
Osaka J. Math., 41 (2004), 327 - 351, with K. Scheicher.
24.) On a
generalization of the radix representation - a survey
in: High Primes and Misdemeanours: lectures in honour of the 60th birthday
of Hugh Cowie Williams,
Fields Inst. Commun., 41 (2004), 19 - 27, with S. Akiyama, T. Borbély, H. Brunotte and A. Pethö.
25.) On the
boundary connectedness of connected tiles
Math. Proc. Cambridge Philos. Soc.,
137 (2004), 397 - 410, with J. Luo and S. Akiyama.
26.) Elements
of small norm in Shanks' cubic extensions of imaginary quadratic fields
J. Symbolic Comput., 38 (2004), 1471 - 1486, with P. Kirschenhofer.
27.) On the asymptotic behavior of the Laurent coefficients of a class of Dirichlet series
Abh. Math. Sem. Univ.
Hamburg, 74 (2004), 11 - 32, with H. Ishikawa.
28.) A survey
on topological properties of tiles related to number systems
Geom. Dedicata, 109 (2004), 89 - 105, with S.
Akiyama.
29.) On the
topological structure of fractal tilings generated by
quadratic number systems
Comput. Math. Appl., 49 (2005)
1439 - 1485, with S. Akiyama.
30.) Generalized radix representations
and dynamical systems I
Acta Math. Hungar., 108 (2005) 207 - 238, with S. Akiyama, T. Borbély, H. Brunotte and A. Pethö.
31.) Analysis
of linear combination algorithms in cryptography
ACM Trans. Algorithms, 1 (2005) 123 - 142, with P. J. Grabner,
C. Heuberger and H. Prodinger.
32.) Waring's problem with digital restrictions
Israel J. Math., 149 (2005) 317 - 344, with R. F. Tichy.
33.) Generalized radix representations
and dynamical systems II
Acta Arith., 121 (2006) 21
– 61, with S. Akiyama, H. Brunotte and A. Pethö.
34.) On Waring's
and Tarry's problem with digital restrictions
Elementare und Analytische Zahlentheorie (Tagungsband) Proceedings
ELAZ-Conference May 24-28, 2004,
Wolfgang Schwarz and Jörn Steuding (Hg.), Franz
Steiner Verlag (2006) 143 - 154,
with P. Kirschenhofer and
O. Pfeiffer.
35.) Basic properties of
shift radix systems
Acta Math. Acad. Paedagog. Nyházi.
(N.S.), 22 (2006) 19 - 25,
with S. Akiyama, T. Borbély, H. Brunotte
and A. Pethö.
36.) Unimodular Pisot substitutions and their associated
tiles
J. Théor. Nombres
Bordeaux, 18 (2006) 487 - 536.
37.) Dynamical
directions in numeration
Ann. Inst. Fourier (
38.) On the
fundamental group of self-affine plane tiles
Ann. Inst. Fourier (
39.) On a parameterized family of relative Thue equations
Publ. Math.
(A list of integers of small norm in
simplest cubic fields over $Q(\sqrt{-D})$ is available here)
40.) Three-Dimensional Symmetric Shift Radix Systems
Acta Arith., 129 (2007) 147
- 166, together with A. Huszti, K. Scheicher and P. Surer.
41.) Topology
of crystallographic tiles
Geom. Dedicata, 128 (2007) 113 - 144, together
with B. Loridant und J. Luo.
42.) Waring's Problem restricted by a system of sum of digits congruences
Quaest. Math., 30 (2007) 513 – 523,
together with O. Pfeiffer.
43.) On a
family of three term nonlinear integer recurrences
Int. J. Number Theory, 4 (2008) 135 - 146, together with P. Kirschenhofer
and A. Pethö.
44.) On disk-like
self-affine tiles arising from polyominoes
Methods Appl. Anal., 13 (2006) 351 - 372,
with J. Gmainer.
45.) Interior
components of a tile associated to a quadratic canonical number system
Topology Appl., 155 (2008) 667 - 695, together with
B. Loridant.
46.) Normality
of numbers generated by the values of entire functions
J. Number Theory, 128 (2008) 1127 - 1145, together with M. G. Madritsch and R. F. Tichy.
47.) Generalized
radix representations and dynamical systems III
Osaka J. Math., 45 (2008) 347 - 374, together with S. Akiyama, H. Brunotte and A. Pethö.
48.) A new
criterion for disk-like crystallographic reptiles
Topology Proc., 31 (2007) 593 - 610, together with B. Loridant
and J. Luo.
49.) Weyl Sums in Fq[x]
with digital restrictions
Finite Fields Appl., 14 (2008) 877 - 896, together
with M. Madritsch.
50.) On
the fundamental group of the Sierpinski-gasket
Topology Appl., 156 (2009) 1655 - 1672, together with
S. Akiyama, G. Dorfer and R. Winkler.
51.) Number systems
and tilings over Laurent series
Math. Proc. Cambridge. Philos. Soc., 147 (2009) 9 - 29, together with T. Beck, H. Brunotte and K. Scheicher.
52.) Generalized radix representations and dynamical
systems IV
Indag. Math., 19 (2008) 333 -
348, together with S. Akiyama, H. Brunotte and A. Pethö.
If you are interested in one of the papers which are not downloadable,
please don't hesitate to contact me via e-mail.
page last modified: 02.09.2009
/ Jörg
Thuswaldner