Publications

Articles

• G. Lipnik, M. Madritsch, R. Tichy,
  A Local Limit Theorem for Integer Partitions into Small Powers [ arXiv:2311.09203 ]
  arXiv 2311.09203 (2023),
• M. Madritsch, J. Rivat, R. Tichy,
  On Finite Pseudorandom Binary Sequences: Functions from a Hardy field [ arXiv:2312.08333 ]
  Acta Math. Hungar. (to appear),
• 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

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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