DI Dr. Manfred Madritsch

Senior Scientist

Sprechzeiten nach Vereinbarung

MU-Online Visitenkarte

Kontakt:
E-Mail: manfred.madritsch(at)unileoben.ac.at
Tel.: +43 (0)3842/402-1709
ORCID: 0009-0003-2124-8064

Adresse:
Montanuniversität Leoben
170 Lehrstuhl für Angewandte Mathematik
Peter-Tunner-Straße 25/I
A-8700 Leoben

Projekte

Projekt EST (ANR-18-CE40-0018)
Expansions, dynamical Systems and Tilings
Mitglieder:

  • Julien Bernat, IECL, Université de Lorraine
  • Yann Bugeaud, IRMA, Université de Strasbourg
  • Nicolas Chevalier, LMIA, Université de Haute Alsace
  • Renan Laureti (Doktorant), IECL, Université de Lorraine
  • Manfred Madritsch (Coordinateur), IECL, Université de Lorraine
  • Thomas Stoll, IECL, Université de Lorraine
     

Dauer : 48+ Monate, vom 01-10-2018 bis 31-12-2023 
 

Preprints

  • M. Madritsch
    Warings problem for pseudo-polynomials
    arXiv 2601.10351 (2026),
  • M. Madritsch, R. Tichy, 
    On Finite Pseudorandom Binary Sequences: Generalized polynomials
    arXiv 2509.19810 (2025),
  • G. Lipnik, M. Madritsch, R. Tichy, 
    A Local Limit Theorem for Integer Partitions into Small Powers
    arXiv 2311.09203 (2023), 

Papers

  • M. Madritsch, J. Rivat, R. Tichy, 
    On Finite Pseudorandom Binary Sequences: Functions from a Hardy field [ arXiv:2312.08333
    Acta Math. Hungar. 174 (2024), 121 – 137
  • G. Lipnik, M. Madritsch, R. Tichy, 
    A Central Limit Theorem for Integer Partitions into Small Powers [ arXiv:2204.05592
    Monatsh. Math. 203 (2024), 149 – 173
  • V. Becher, M. Madritsch
    On a question of Mendès France on normal numbers [ arXiv:2108.06804
    Acta Arith. 203 (2022), 271 – 288
  • M. Madritsch, J. Thuswaldner, 
    The level of distribution of the sum-of-digits function of linear recurrence number systems [ arXiv:1909.08499
    J. Théor. Nombres Bordeaux 34 (2022), 449 – 482
  • M. Madritsch, R. Tichy, 
    Multidimensional van der Corput sets and small fractional parts of polynomials 
    Mathematika 65 (2019), 400 – 435
  • M. Madritsch, A. Scheerer, R. Tichy, 
    Computable absolutely Pisot normal numbers 
    Acta Arith. 184 (2018), 7 – 29
  • M. Madritsch, P. Surer, V. Ziegler, 
    On multiplicative independent bases for canonical number systems in cyclotomic number fields 
    Number theory - Diophantine problems, uniform distribution and applications (2017), 313 – 332
  • C. Frei, M. Madritsch
    Forms of differing degrees over number fields 
    Mathematika 63 (2017), 92 – 123
  • M. Madritsch, R. Tichy, 
    Dynamical systems and uniform distribution of sequences 
    From arithmetic to zeta-functions (2016), 263 – 276
  • M. Madritsch, B. Mance, 
    Construction of $\mu$-normal sequences 
    Monatsh. Math. 179 (2016), 259 – 280
  • M. Madritsch, V. Ziegler, 
    On multiplicatively independent bases in cyclotomic number fields 
    Acta Math. Hungar. 146 (2015), 224 - 239
  • M. Madritsch, V. Ziegler, 
    An infinite family of multiplicatively independent bases of number systems in cyclotomic number fields 
    Acta Sci. Math. (Szeged) 81 (2015), 33 – 44
  • M. Madritsch
    Construction of normal numbers via pseudo-polynomial prime sequences [ PDF
    Acta Arith. 166 (2014), 81 – 100
  • V. Bergelson, G. Kolesnik, M. Madritsch, Y. Son, R. Tichy, 
    Uniform distribution of prime powers and sets of recurrence and van der Corput sets in $\Bbb{Z}^k$ 
    Israel J. Math. 201 (2014), 729 – 760
  • M. Madritsch, I. Petrykiewicz, 
    Non-normal numbers in dynamical systems fulfilling the specification property 
    Discrete Contin. Dyn. Syst. 34 (2014), 4751 – 4764
  • M. Madritsch, T. Stoll, 
    On simultaneous digital expansions of polynomial values [ PDF
    Acta Math. Hungar. 143 (2014), 192 – 200
  • M. Madritsch, T. Stoll, 
    On a second conjecture of Stolarsky: the sum of digits of polynomial values [ PDF
    Arch. Math. (Basel) 102 (2014), 49 – 57
  • M. Madritsch
    Non-normal numbers with respect to {M}arkov partitions [ PDF
    Discrete Contin. Dyn. Syst. 34 (2014), 663 – 676
  • C. Aistleitner, M. Hofer, M. Madritsch
    On the distribution functions of two oscillating sequences [ PDF
    Unif. Distrib. Theory 8 (2013), 157 – 169
  • M. Madritsch, A. Pethő, 
    A note on generalized radix representations and dynamical systems [ PDF
    Osaka J. Math. 50 (2013), 817 – 825
  • M. Madritsch, R. Tichy, 
    Construction of normal numbers via generalized prime power sequences 
    J. Integer Seq. 16 (2013), Article 13.2.12, 17
  • M. Madritsch, A. Pethő, 
    The moments of $b$-additive functions in canonical number systems [ PDF
    Acta Sci. Math. (Szeged) 78 (2012), 403 – 418
  • M. Madritsch
    The sum-of-digits function of canonical number systems: distribution in residue classes [ PDF
    J. Number Theory 132 (2012), 2756 – 2772
  • M. Madritsch
    The summatory function of $q$-additive functions on pseudo-polynomial sequences [ PDF
    J. Th\'eor. Nombres Bordeaux 24 (2012), 153 – 171
  • M. Madritsch
    $q$-additive functions on polynomial sequences [ PDF
    Int. J. Number Theory 8 (2012), 377 – 393
  • M. Madritsch, A. Pethő, 
    Asymptotic normality of additive functions on polynomial sequences in canonical number systems [ PDF
    J. Number Theory 131 (2011), 1553 – 1574
  • M. Madritsch
    Waring's problem with digital restrictions in $\Bbb F_q[X]$ [ PDF
    Math. Slovaca 60 (2010), 801 – 810
  • M. Madritsch, B. Vallée, 
    Modelling the LLL Algorithm by Sandpiles [ PDF
    LATIN (2010), 267 – 281
  • M. Madritsch, J. Thuswaldner, 
    Additive functions for number systems in function fields [ PDF
    Finite Fields Appl. 16 (2010), 204 – 229
  • M. Madritsch, S. Wagner, 
    A central limit theorem for integer partitions [ PDF
    Monatsh. Math. 161 (2010), 85 – 114
  • M. Madritsch
    Asymptotic normality of $b$-additive functions on polynomial sequences in number systems [ PDF
    Ramanujan J. 21 (2010), 181 – 210
  • M. Madritsch
    Generating normal numbers over Gaussian integers [ PDF
    Acta Arith. 135 (2008), 63 – 90
  • M. Madritsch, J. Thuswaldner, 
    Weyl sums in $\Bbb{F}_q[x]$ with digital restrictions [ PDF
    Finite Fields Appl. 14 (2008), 877 – 896
  • M. Madritsch, J. Thuswaldner, R. Tichy, 
    Normality of numbers generated by the values of entire functions [ PDF
    J. Number Theory 128 (2008), 1127 – 1145
  • M. Madritsch
    A note on normal numbers in matrix number systems [ PDF
    Math. Pannon. 18 (2007), 219 – 227