Manuscripts

• Arithmetical subword complexity of automatic sequences

  by Jakub Konieczny and Clemens Müllner

  submitted.

  arXiv BibTeX web

• Automaticity of uniformly recurrent substitutive sequences

  by Elżbieta Krawczyk and Clemens Müllner

  submitted.

  arXiv BibTeX web

• Synchronizing automatic sequences along Piatetski-Shapiro sequences

  by Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner, Andrei Shubin and Lukas Spiegelhofer

  accepted for publication in Israel Journal of Mathematics.

  arXiv BibTeX web

Publications

• Primes as sums of Fibonacci numbers

  by Michael Drmota, Clemens Müllner and Lukas Spiegelhofer

  Memoirs of the AMS 305 (2025), no. 1537, ix+122 pp.

  arXiv BibTeX web

• Bracket words along Hardy field sequences

  by Jakub Konieczny and Clemens Müllner

  Ergodic Theory and Dynamical Systems 44.9 (2024), 2621-2648

  arXiv BibTeX web

• Some recent developments on the Sarnak Conjecture

  by Michael Drmota, Mariusz Lemańczyk, Clemens Müllner and Joël Rivat

  Diophantine problems: determinism, randomness and applications by the Société Mathématique de France (2024), 105-128

  pdf BibTeX web

• Coprimality of Consecutive Elements in a Piatetski-Shapiro Sequence

  by Jean-Marc Deshouillers, Michael Drmota and Clemens Müllner

  Number Theory in Memory of Eduard Wirsing 2023, 91-98

  pdf BibTeX web

• Gowers norms for automatic sequences

  by Jakub Byszewski, Jakub Konieczny and Clemens Müllner

  Discrete Analysis Mar. 24, 2023

  arXiv BibTeX web

• The VC-Dimension of Axis-Parallel Boxes on the Torus

  by Pierre Gillibert, Thomas Lachmann and Clemens Müllner

  Journal of Complexity, Volume 68, Issue C

  arXiv BibTeX web

• Multiplicative automatic sequences

  by Jakub Konieczny, Mariusz Lemańczyk and Clemens Müllner

  Mathematische Zeitschrift volume 300, 1297–1318 (2022)

  arXiv BibTeX web

• (Logarithmic) densities for automatic sequences along primes and squares

  by Boris Adamczewski, Michael Drmota and Clemens Müllner

  Trans. Amer. Math. Soc. 375 (2022), 455-499

  arXiv BibTeX web

• Automorphisms of automatic shifts

  by Clemens Müllner and Reem Yassawi

  Ergodic Theory and Dynamical Systems 41 (2021), no. 5, 1530-1559

  arXiv BibTeX web

• Automatic sequences are orthogonal to aperiodic multiplicative functions

  by Mariusz Lemańczyk and Clemens Müllner

  Discrete and Continuous Dynamical Systems 40 (2020), no. 12, 6877-6918

  arXiv BibTeX web

• Randomness and non-randomness properties of Piatetski-Shapiro sequences modulo m

  by Jean-Marc Deshouillers, Michael Drmota, Clemens Müllner and Lukas Spiegelhofer

  Mathematika 65 (2019), no. 4, 1051–1073.

  arXiv BibTeX web

• Palindromic subsequences in finite words

  by Clemens Müllner and Andrew Ryzhikov

  Language and automata theory and applications, 460–468, Lecture Notes in Comput. Sci., 11417, Springer, Cham, 2019

  arXiv BibTeX web

• Exponential sums with automatic sequences

  by Sary Drappeau and Clemens Müllner

  Acta Arith. 185 (2018), no. 1, 81-99

  arXiv BibTeX web

• The Rudin-Shapiro Sequence and Similar Sequences are Normal Along Squares

  by Clemens Müllner

  Canad. J. Math. 70 (2018), no. 5, 1096–1129

  arXiv BibTeX web

• Möbius orthogonality for the Zeckendorf sum-of-digits function

  by Michael Drmota, Clemens Müllner and Lukas Spiegelhofer

  Proc. Amer. Math. Soc. 146 (2018), no. 9, 3679–3691

  arXiv BibTeX web

• Automatic sequences fulfill the Sarnak conjecture

  by Clemens Müllner

  Duke Math. J. 166, no. 17 (2017), 3219-3290

  arXiv BibTeX web

• Normality of the Thue-Morse sequence along Piatetski-Shapiro sequences, II

  by Clemens Müllner and Lukas Spiegelhofer

  Israel J. Math. 220 (2017), no. 2, 691-738

  arXiv BibTeX web

• Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture

  by Jean-Marc Deshouillers, Michael Drmota and Clemens Müllner

  Studia Math. 231 (2015), no. 1, 83–95

  arXiv BibTeX web

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