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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. Hamburg, 66 (1996), 281 - 287, with P. J. Grabner.
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.
53.) Additive
functions for number systems in function fields
Finite Fields Appl., 16 (2010) 204 - 229, together with M. Madritsch.
54.) Interior components of a tile associated
to a quadratic canonical number system - Part II
Fractals, 18 (2010) 385 - 397, together with J. Bernat
and B. Loridant.
55.) Beta-continued
fractions over Laurent series
Publ. Math. Debrecen, 77 (2010) 443 - 463, zusammen mit M. Jellali, M. Mkaouar und K. Scheicher.
56.)
Fractal tiles associated with shift
radix systems
Adv. Math., to appear, together with V. Berthé, A.
Siegel, W. Steiner and P. Surer.
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:
16.09.2010 / Jörg Thuswaldner