#### Papers

1. A note on normal numbers in matrix number systems [PDF],
Mathematica Pannonica 18 (2007), 219 – 227.
2. Normality of numbers generated by the values of entire functions [PDF,DOI],
Journal of Number Theory 128 (2008), 1127 1145;
joint work with J.M. Thuswaldner et R.F. Tichy.
3. Weyl Sums in $F_q[X]$ with digital restrictions [PDF, DOI],
Finite Fields and Their Applications 14 (2008) 877 – 896;
joint work with J.M. Thuswaldner.
4. Generating normal numbers over Gaussian integers [PDF],
Acta Arithmetica 135 (2008), 63 – 90.
5. Asymptotic normality of b-additive functions on polynomial sequences in number systems [PDF,DOI],
The Ramanujan Journal 21 (2010) 181210.
6. A central limit theorem for integer partitions [PDF,DOI],
Monatshefte für Mathematik
161 (2010) 85114,
joint work with S.G. Wagner.
7. Additive functions for number systems in Function Fields [PDF,DOI],
Finite Fields and Their Applications 16 (2010) 204 – 229,
joint work with J.M. Thuswaldner.
8. Modelling the LLL algorithm by sandpiles [PDF, DOI],
Proc. LATIN 2010; LNCS 6034, 267 – 281
joint work with B. Vallée.
9. Waring's Problem with digital restrictions in $F_q[X]$ [PDF, DOI],
Mathematica Slovaca 60 (2010) 801 – 810.
10. Asymptotic normality of additive functions on polynomial sequences in canonical number systems [PDF, DOIarXiv],
Journal of Number Theory 131 (2011), 1553–1574;
joint work with A. Pethő.
11. $q$-additive functions on polynomial sequences [PDF, DOI],
International Journal of Number Theory 8 (2012), 377–393.
12. The summatory function of q-additive functions on pseudo-polynomial sequences [PDF],
Journal de Théorie des Nombres de Bordeaux 24 (2012) 153 –171.
13. The sum of digits functions of canonical number systems: distribution in residue classes [PDF, DOI],
Journal of Number Theory 132 (2012), 2756–2772.
14. The moments of $b$-additive functions in canonical number systems [PDF],
Acta Scientarum Mathematicarum (Szeged) 78:3-4 (2012), 403 - 418,
joint work with A. Pethő.
15. Construction of Normal Numbers via Generalized Prime Power Sequences [HTML],
Journal of Integer Sequences, Vol. 16 (2013), Article 13.2.12,
joint work with R. Tichy.
16. A note on generalized radix representations and dynamical systems [PDF],
Osaka J. Math. 50 (2013), no. 3, 817 - 825,
joint work with A. Pethő.
17. On the distribution functions of two oscillating sequences [PDF],
Uniform Distribution Theory 8 (2013), no.2, 157 - 169;
joint work with C. Aistleitner et M. Hofer.
18. Non-normal numbers with respect to Markov partitions [PDF,DOI],
Discrete Contin. Dyn. Syst. Ser. A., Vol. 34 (2014), 663 - 676.
19. On a second conjecture of Stolarsky: the sum of digits of polynomial values [PDF, DOI],
Arch. Math. (Basel) 102 (2014), no. 1, 49 - 57.
joint work with T. Stoll.
20. On simultaneous digital expansions of polynomial values [PDF, DOI],
Acta Math. Hungar. 143 (2014), no. 1, 192 - 200;
joint work with T. Stoll.
21. Non-normal numbers in dynamical systems fulfilling the specification property [arXiv, DOI],
Discrete Contin. Dyn. Syst. Ser. A., Vol. 34 (2014), 4751 - 4764;
joint work with I. Petrykiewicz.
22. Uniform Distribution of Prime Powers and sets of Recurrence and van der Corput sets in $\mathbb{Z}^k$ [arXiv, DOI],
Israel Journal of Mathematics 201 (2014), no. 2, 729 - 760;
joint work with V. Bergelson, G. Kolesnik, Y. Son and R. Tichy.
23. Construction of normal numbers via pseudo polynomial prime sequences [PDF],
Acta Arithmetica 166 (2014), 81 - 99.
24. An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields [arXiv, DOI], Acta Scientiarium Mathematicarum (Szeged) 81:1-2 (2015), 33-44;
joint work with V. Ziegler.
25. On multiplicatively independent bases in cyclotomic number fields [arXiv, DOI],
Acta Mathematica Hungarica 146 (2015), no. 1, 224 - 239;
joint work with V. Ziegler.
26. Construction of $\mu$-normal numbers [arXiv],
Monatshefte für Mathematik 179 (2016) 259 - 280;
joint work with B. Mance.
27. Dynamical systems and uniform distribution of sequences [arXiv], From arithmetic to zeta-functions, 263 - 276, Springer, Cham, 2016; joint work with R. Tichy.
28. Forms of differing degrees over number fields [arXiv,DOI],
Mathematika 63 (2017), no. 1, 92 - 123;
joint work with C. Frei.
29. On multiplicative independent bases for canonical number systems in cyclotomic number fields, Number theory - Diophantine problems, uniform distribution and applications, 313 - 332, Springer, Cham, 2017; joint work with P. Surer and V. Ziegler.
30. Normal numbers and symbolic dynamics. Sequences, groups, and number theory, 271 - 329,
Trends Math., Birkhäuser/Springer, Cham, 2018.
31. Computable absolutely Pisot normal numbers [arXiv],
Acta Arith. 184 (2018), no. 1, 7 - 29;
joint work with A.-M. Scheerer et R. Tichy.
32. Multidimensional van der Corput sets and small fractional parts of polynomials [arXiv,DOI],
Mathematika 65 (2019), no. 2, 400 - 435;
joint work with R. Tichy.
33. Hausdorff dimension of particularly non-normal numbers in dynamical systems fulfilling the specification property [arXiv], submitted;
en collaboration avec I. Petrykiewicz.
34. Romanov's Theorem in Number Fields [arXiv], submitted;
en collaboration avec S. Planitzer.

#### Thesis and other publications

Méthodes analytiques, probabilistes et dynamiques dans l'étude des systèmes de numération, Habilitation thesis [PDF].
Exponential sums: Normal numbers and Waring's Problem, PhD thesis [PDF].
Siebmethoden und das Goldbachsche Problem
(German), Master thesis [PDF].

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