MuDeRa

Multiplicativity, Determinism, and Randomness


     


Project

The aim of the Austrian-French joint project MuDeRa ("Multiplicativity, Determinism, and Randomness", 2015-2018) is to make progress on various questions that interrelate and link the notion of randomness (or pseudo-randomness) with the notion of determinism in the context of analytic number theory, combinatorics on words, automata theory, quasi-random sequences and nearby disciplines. It is financially supported by the FWF (Fonds zur Förderung der wissenschaftlichen Forschung, I-1751-N26) and the ANR (Agence Nationale de la Recherche, ANR-14-CE34-0009).


Research topics

Many numbertheoretic sequences are per se deterministic but resemble much of the overall behaviour of a random sequence. One important example is the Möbius function. In this context we are interested in studying the independence between the Möbius function and various deterministic functions such as functions that are produced by a dynamical system of zero entropy or by a simple algorithm based on the binary digital representation. Informally, the difficulty of this independence problem reflects the difficulty of the transition from the digital representation of an integer to its multiplicative representation as a product of prime factors. This field of questions is the source of many important open problems in mathematics and computer science. In particular, we mention the construction of normal numbers, the analysis of pseudo-random and complexity measures, and the search for optimal discrepancy estimates for digitally based sequences or other quasi-random sequences which are some of the major lines of research in this joint project.


Members

The Austrian-French Consortium consists of 11 researchers and is based in Graz, Linz, Vienna, Bordeaux, Calais, Marseille, and Nancy.

Postdoctoral researchers:

  • Aistleitner Christoph (TU Graz), 1/10/2015-31/5/2016 (Linz)
  • Aloui Karam (Université de Sfax), 1/2/2016-31/8/2016 (Nancy), 1/2/2017-31/8/2017 (Vienna)
  • Hanna Gautier (Université d'Aix-Marseille), 1/10/2016-31/9/2017
  • Lachand Armand (Université d'Aix-Marseille), 1/9/2015-31/8/2016
  • Spiegelhofer Lukas (TU Vienna), 1/4/2015-31/1/2016 (Nancy) and 1/1/2018-30/9/2018 (Vienna)
  • Laszlo Merai (Linz), 1/2/2018-31/7/2018

Doctoral students:

  • Adrian Scheerer (TU Graz), 1/9/2015-30/11/2015 and 1/1/2016-31/8/2017
  • Clemens Müllner (TU Vienna - M. Drmota, Université d'Aix-Marseille - J. Rivat), 09/2014-02/2017, working on a problem posed within MuDeRa

Events


Guests (selection)

  • Christoph Aistleitner (Johannes Kepler Universität Linz), Nancy, 26/02-27/02/2015
  • Domingo Gomez Perez (University of Cantabria), Nancy, 03/06-07/06/2015
  • Jeff Shallit (University of Waterloo, Canada), Nancy, 22/10-23/10/2015
  • Guy Barat (Marseille), Graz
  • Gregory Derfel (Ben Gurion University, Beer Sheva, Israel), Graz
  • Manfred Madritsch (Université de Lorraine, Nancy), Graz
  • Mariusz Lemanczyk (Univ. Torun), TU Vienne, 19/2-22/2/2017
  • Shanta Laishram (Indian Statistical Institute, Delhi, India), Bordeaux, 30/6-11/7/2016
  • Lászlo Mérai (Austrian Academy of Science), Marseille, 17/1-23/1/2016
  • Mohammed Mkaouar (Université de Sfax), Marseille, 28/3-2/4/2016
  • András Sárközy (Loránd Eötvös University, Budapest), Marseille, 7/1-27/1/2016

Publications / Preprints / in preparation (explicitely mentioning MuDeRa)

  • C. Aistleitner and L. Pankowski, Large values of L-functions from the Selberg class, J. Math. Anal. Appl. 446 (2017), no. 1, 345-364
  • C. Aistleitner, A. Hinrichs, and D. Rudolf, On the size of the largest empty box amidst a point set, Discr. Appl. Math. 230 (2017), 146-150.
  • C. Aistleitner, R. Hofer, and G. Larcher, On evil Kronecker sequences and lacunary trigonometric products. Ann. Inst. Fourier 67 (2017), no. 2, 637-687.
  • C. Aistleitner and G. Larcher, Additive energy and irregularities of distribution, Unif. Distrib. Theory 12 (2017), no. 1, 99-107.
  • C. Aistleitner, G. Larcher, and M. Lewko, Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems. With an appendix by Jean Bourgain; Israel J. Math. 222 (2017), no. 1, 463-485.
  • C. Aistleitner, F. Pausinger, A.-M. Svane, and R. Tichy, On functions of bounded variation, Math. Proc. Cambridge Philos. Soc. 162 (2017), no. 3, 405-418.
  • C. Aistleitner, R. Hofer and G. Larcher, Some recent developments at the intersection of Diophantine approximation, analytic number theory, and irregularities of distributions. RIMS Kokyuroku 2014 (2017), 161-172
  • K. Aloui, C. Mauduit and M. Mkaouar, Répartition simultanée de S(n) et S(n+1) dans les progressions arithmétiques simultanées, Ramanujan Journal 42 (1) (2017), 173--197.
  • K. Aloui, C. Mauduit and M. Mkaouar, Somme des chiffres et repartition dans les classes de congruence pour les palindromes ellipséphiques, Acta Math. Hungarica 151 (2) (2017), 409--455.
  • M. Balazard and B. Martin, Sur une famille d'\'equations fonctionnelles approch\'ees, li\'ees \`a la transformation de Gauss, Aequationes Math., to appear.
  • V. Becher, A.-M. Scheerer and T. Slaman, On absolutely normal numbers and their discrepancy estimate, http://arxiv.org/abs/1702.04072.
  • M. Bennett and A.-M. Scheerer, Squares with three nonzero digits, Festschrift in honour of Robert F. Tichy's 60th birthday, to appear.
  • S. Bettin and B. Martin, On the non-vanishing of certain Dirichlet series, J. Number Theory 180 (2017), 423--442.
  • R. de la Bretèche, T. Stoll and G. Tenenbaum, Somme des chiffres et changement de base, submitted (2018) https://arxiv.org/abs/1806.09670.
  • C. Dartyge and D. Goméz-Peréz, Various approaches for the study of the complexity of some families of pseudorandom subsets, Revista Matematica Iberoamericana, EMS, Vol 33, Issue 4, 1351-1367.
  • C. Dartyge and M. Szalay, On a phenomenon of Turàn concerning the summands of partitions, Acta Math. Hungarica 149 (2016), 375--395.
  • C. Dartyge, K. Gyarmati and A. Sárközy, On irregularities of distribution of binary sequences relative to arithmetic progressions I, general results, Uniform Distribution Theory, Vol. 12, Issue 1 (2017), 56-67.
  • C. Dartyge, K. Gyarmati and A. Sárközy, On irregularities of distribution of binary sequences relative to arithmetic progressions II, (Constructive bounds), Uniform Distribution Theory, to appear.
  • C. Dartyge and G. Martin, On exponential sums with reducible polynomials, https ://arxiv.org/abs/1802.09090
  • G. Derfel, P. J. Grabner and R. F. Tichy, On the asymptotic behaviour of the zeros of solutions of one functional-differential equation with rescaling, submitted.
  • J.-M. Deshouillers, Yet another footnote to The least non zero digit of n! in base 12, Uniform Distribution Theory 11 (2016), no.2, 163-167.
  • J.-M. Deshouillers, M. Drmota, and C. Müllner, Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture, Studia Mathematica 231 (1), 83-95, 2015.
  • J.-M. Deshouillers and G. Grekos, Integral points on a very flat convex curve, Analytic Number Theory, Modular Forms and q-Hypergeometric Series, Springer, Proceedings in Mathematics and Statistics (2017), 207--212.
  • J.-M. Deshouillers, L. Habsieger, S. Laishram and B. Landreau, Sums of the digits in bases 2 and 3, Number Theory - Diophantine Problems, Uniform Distribution and Applications, Springer (2017), 211--217.
  • J.-M. Deshouillers and M. Nasiri-Zare, Density modulo 1 of a sequence associated to a multiplicative function evaluated at polynomial arguments. A chapter in the volume "GANITA", Springer, Proceedings in Mathematics and Statistics, to appear.
  • J.-M. Deshouillers and A. Schinzel, The modular distribution of Stern sequences. A chapter in the volume "Number Theory Week 2017", Banach Center Publications, to appear.
  • J.-M. Deshouillers and R. Thangadurai, A sufficient condition for $(theta^n)_n$ to have a distribution modulo one, when $\theta$ is in $F_2(X)$. Integers, 18Q (2018), no.A8, 11pp
  • J.-M. Deshouillers, S. Gun and J. Sivaraman, On Euclidean classes in certain Abelian extensions. Math. Z., submitted.
  • S. Drappeau and L. Spiegelhofer, Exponential sums with automatic sequences, Acta Arith., to appear.
  • M. Drmota, R. Hofer and G. Larcher, On the discrepancy of Halton-Kronecker sequences, to appear in a special issue on the occasion of the 60th birthday of Robert Tichy.
  • M. Drmota, C. Mauduit and J. Rivat, Normality along squares, Journal of the European Mathematical Society, to appear.
  • M. Drmota, C. Mauduit and J. Rivat, Prime numbers in two bases, submitted.
  • M. Drmota, C. Müllner and L. Spiegelhofer, Möbius orthogonality for the Zeckendorf sum-of-digits function, Proc. Amer. Math. Soc. 146 (2018), no.9, 3679--3591.
  • M. Drmota, M. Kauers and L. Spiegelhofer, On a conjecture of Cusick concerning the sum of digits of n and n + t, SIAM J. Discrete Math. 30, No. 2 (2016), 621--649.
  • E. Fouvry, E. Kowalski, P. Michel, C.S. Raju, J. Rivat, K. Soundararajan, On short sums of trace functions; Annales de l'Institut Fourier, vol. 67, no1, 2017, pp. 423-449.
  • S. Ferenczi and C. Mauduit, On Sarnak's conjecture and Veech's question for interval exchanges, Journal d'Analyse Mathématique, to appear.
  • S. Ferenczi, J.Kulaga-Przymus, M. Lemanczyk and C. Mauduit, Substitutions and M ¨obius disjointness, Contemporary Math. AMS, to appear.
  • D. Gómez-Pérez, L. Mérai, Algebraic dependence in generating functions and expansion complexity, submitted, 2018.
  • A. Hinrichs, L. Kaltenböck, G. Larcher, W. Stockinger and M. Ullrich, On a multi-dimensional Poissonian pair correlation concept and uniform distribution, submitted, 2018.
  • S. Jaffard and B. Martin, Multifractal analysis of the Brjuno function, Invent. Math. 212 (1) (2018), 109-132.
  • H. Kaneko and T. Stoll, On subwords in the base-q expansion of polynomial and exponential functions, Integers, vol. 18A (2018).
  • H. Kaneko and T. Stoll, Hensel's lemma for general continuous functions, submitted (2018) https://arxiv.org/abs/1707.01445.
  • M. Karpinski, L. Merai, I. Shparlinski, Identity testing and interpolation from high powers of polynomials of large degree over finite fields, J. Complexity (2018), available online
  • Y. Lamzouri and B. Martin, On the race between primes with an odd versus an even sum of the last $k$ binary digits, submitted.
  • G. Larcher , W. Stockinger, Some negative results related to Poissonian pair correlation problems, submitted, 2018.
  • G. Larcher and W. Stockinger, Pair correlation of sequences ({a_n alpha})_n with maximal order of additive energy. To appear in: Mathematical Proceedings of the Cambridge Philosophical Society, 2018.
  • M. Madritsch and R. Tichy, Multidimensional Heilbronn sets, submitted, http://arxiv.org/abs/1606.03049
  • M. G. Madritsch, A.-M. Scheerer and R. F. Tichy, Computable Absolutely Pisot Normal Numbers, submitted, http://arxiv.org/abs/1610.06388
  • I. Marcovici, T. Stoll and P.A. Tahay, Construction of some nonautomatic sequences by cellular automata, Lecture Notes in Computer Science, Springer, LNCS 10875 (2018), 113-126.
  • B. Martin, C. Mauduit and J. Rivat, Nombres premiers avec contraintes digitales multiples, Bull. Math. Soc. Fr., to appear.
  • B. Martin, C. Mauduit and J. Rivat, Propriétés locales des chiffres des nombres premiers, Journal de l'Institut de Mathématiques de Jussieu, https://doi.org/10.1017/S1474748017000044.
  • C. Mauduit and J. Rivat, Rudin-Shapiro sequences along squares, Transactions of the American Mathematical Society, vol. 370, no.11, 2018, pp. 7899--7921.
  • C. Mauduit, J. Rivat and A. Sárközy, On the distribution of the sum of digits of sums a+b, Ramanujan Journal, 2018, https://doi.org/10.1007/s11139-017-9977-3.
  • C. Mauduit, J. Rivat and A. Sárközy, On the digits of sumsets, Canadian Journal of Mathematics, vol. 69, no.3, 2017, pp. 595--612.
  • C. Mauduit, H. Montgomery, and J. Rivat, Moments of a Thue-Morse generating function, Journal d’Analyse Mathématique, , vol. 135, no. 2, 2018, pp. 713--724.
  • L. Merai, I. Shparlinski, Sparsity of curves and additive and multiplicative expansion of rational maps over finite fields, Acta Arith. (2018), to appear
  • C. Müllner, Automatic Sequences fulfill the Sarnak Conjecture, Duke Math. Journal, 166 (2017), no. 17, 3219--3290.
  • C. Müllner, The Rudin--Shapiro sequence and silimar sequences are normal along squares, Canad. J. Math. 70 (2018), 1096--1129.
  • C. Müllner and L. Spiegelhofer, Normality of the Thue--Morse sequence along Piatetski-Shapiro sequences II, Israel J. Math. 220 (2017), no.2, 691--738.
  • J. Rivat and I. Shparlinski, Multiples of squares in short intervals. Functiones et Approximatio 54, no.1, 2016, 57-63.
  • A. Scheerer, Normality in Pisot Numeration Systems, Ergodic Theory and Dynamical Systems 37 (2) (2017), 664-672.
  • A. Scheerer, Computable Absolutely Normal Numbers and Discrepancies, http://arxiv.org/abs/1511.03582
  • L. Spiegelhofer and M. Wallner, An explicit generating function arising in counting binomial coefficients divisible by powers of primes, Acta Arith. 181 (2017), no.1, 27--55.
  • L. Spiegelhofer and M. Wallner, Divisibility of binomial coefficients by powers of two, J. Number Theory 192 (2018, 221--239.
  • L. Spiegelhofer and M. Wallner, The Tu--Deng conjecture holds almost surely, The Electronic Journal of Combinatorics, to appear, https://arxiv.org/abs/1707.07945 .
  • L. Spiegelhofer, The level of distribution of the Thue--Morse sequence, submitted https://arxiv.org/abs/1803.01689 .
  • T. Stoll, Thue-Morse along two polynomial subsequences, Lecture Notes in Computer Science, Combinatorics on Words, Springer, no. 9304, Chapter 5.
  • T. Stoll, On digital blocks of polynomial values and extractions in the Rudin-Shapiro sequence, RAIRO 50 (1) (2016), 93-99.

Talks

  • C. Aistleitner: One hundred years of uniform distribution theory. Hermann Weyl's seminal paper of 1916. Lehrstuhlseminar, Lehrstuhl für Geometrie und Visualisierung, TU München. Munich, 01/2016
  • C. Aistleitner: Pair correlations and additive energy, Conference on Combinatorial and Additive Number Theory, University Graz, 01/2015
  • C. Aistleitner: Extreme values of the Riemann zeta function via the resonance method, Conference on Analytic Number Theory and Related Areas, Research Institute for Mathematical Sciences, University Kyoto, Japan, 11/2015
  • C. Aistleitner: Extreme values of the Riemann zeta function, Salzburg Mathematics Colloquium, University Salzburg, 10/2015
  • C. Aistleitner: One hundred years of uniform distribution theory. Hermann Weyl's foundational paper of 1916. International Conference on Harmonic Analysis and Approximations VI. Tsaghkadzor, Armenia, 09/2015
  • C. Aistleitner: Quasi-Monte Carlo sampling for non-uniform measures, 8th International Congress on Industrial and Applied Mathematics, Beijing, China, 09/2015
  • C. Aistleitner: On parametric Thue-Morse Sequences and Lacunary Trigonometric Products, Conference on Diophantine Approximation and Related Topics, Aarhus, Denmark, 07/2015
  • C. Aistleitner: Low-discrepancy point sets for non-uniform measures, 10th IMACS Seminar on Monte Carlo Methods, Linz, 07/2015
  • C. Aistleitner: GCD sums and the order of the Riemann zeta function, Workshop on Dirichlet Series and Analysis on Polydiscs, NTNU, Trondheim, Norway, 06/2015
  • C. Aistleitner: Discrepancy theory for non-uniform measures, Workshop on Information-Based Complexity. Banach Center, Bedlewo, Poland, 04/2015
  • C. Aistleitner: Quasi-Monte Carlo sampling for non-uniform measures, Kolloquium Stochastik und Versicherungsmathematik, TU Graz, 03/2015
  • C. Aistleitner: Analysis of lacunary trigonometric products, a generalised Duffin-Schaeffer conjecture and discrepancy of sequences in the unit interval, Séminaire de Théorie des Nombres de Nancy-Metz, Institut Élie Cartan, Nancy, 02/2015
  • C. Dartyge: Conference in honor of R. Balasubramanian, Chennai (India), 12/2015
  • C. Dartyge: On the greatest prime factor for the twelfth cyclotomic polynomial, Workshop "New approaches in probabilistic and multiplicative number theory", CRM Montréal, 12/2014
  • C. Dartyge: On a phenomenon of Turán concerning the summands of partitions, Conference, Kerala (India) in honnor of J.-M. Deshouillers, 01/2017.
  • C. Dartyge: Sur un phénomène de Turán relatif aux partitions des entiers, séminaire de théorie des nombres de Nancy, 02/2017
  • C. Dartyge: Conférence "Number Theory Week 2017", in honnor of Jerzy Kaczorowski, Poznań, Poland, 09/2017.
  • C. Dartyge: On exponential sums with reducible polynomials, "Les probabilités en théorie des nombres", CRM Montreal, 06/2018.
  • J.-M. Deshouillers: On Two Recents Breakthroughs Concerning Prime Numbers, Mathematics Seminar of the School of Physical Sciences of JNU, Delhi, India, 02/2015
  • J.-M. Deshouillers: Sum-free subsets of Z/pZ, Seminar in Number Theory, Zürich, Switzerland, 05/2015
  • J.-M. Deshouillers: Automatic questions concerning the representation of n! in base b, 2nd Workshop on Combinatorics, Number Theory and Dynamical Systems, Rio de Janeiro, 08/2015
  • J.-M. Deshouillers: Questions automatiques relatives à la représentation de n! en base b, Colloque à la mémoire de Pierre Liardet, Chambéry, 09/2015
  • J.-M. Deshouillers: Automatic questions concerning the representation of n! in base b, Number Theory Seminar of the Academy of Sciences, Beijing, China, 10/2015
  • J.-M. Deshouillers: Automatic questions concerning the representation of n! in base b, colloque de théorie des nombres, Chennai (IMSc), 12/2015
  • J.-M. Deshouillers: Mini course and HRI Seminar on automatic sequences, Journées de théorie des nombres (65 ans de Balasubramanian), Allahabad (HRI), 02/2016
  • J.-M. Deshouillers: Sarnak’s conjecture and automatic sequences, Colloque Alladi60, Gainesville FL, 03/2016
  • J.-M. Deshouillers: Sarnak’s conjecture and automatic sequences, "Dynamique et graphes sur les corps finis : aspects algebriques, arithmétiques et algorithmiques", Marseille (CIRM), 03/2016
  • J.-M. Deshouillers: Some aspects of automatic sequences, Bristol Math Seminar, Bristol, UK, 05/2016
  • J.-M. Deshouillers: On the density of some automatic sequences, Math. seminar of the Academy of Sciences. Bratislava, Slovakia, 05/2016
  • J.-M. Deshouillers: Probabilistic methods for Waring’s problem : old and new results, Freiman Fest, Tel Aviv, Israel, 07/2016
  • J.-M. Deshouillers: Integral points on a curve. Math, Seminar of IMSc, Chennai, India, 10/2016
  • J.-M. Deshouillers: Integral points on a convex curve, Math. Seminar of HRI, Allahabad, India, 10/2016
  • J.-M. Deshouillers: Integral points on a convex curve, Math. Seminar of ISI. Delhi, India, 10/2016
  • J.-M. Deshouillers: Sur la différence de la somme des chiffres d’un entier dans les bases 2 et 3. Rencontre de Théorie analytique et élémentaire des nombres à l’IHP. Paris, France, 11/2016
  • J.-M. Deshouillers: Automatic sequences satisfy Sarnak’s conjecture I, Ergodic theory and Moebius disjointness, CIRM, Marseille, 12/2016
  • J.-M. Deshouillers: Sarnak’s conjecture and automatic sequences. Math. seminar of Ashoka University. Sonipat, India, 2/2017.
  • J.-M. Deshouillers: Three lectures on Cobham's Theorem, IMSc, Chennai, India, 04/2017.
  • J.-M. Deshouillers: A mini course on Elementary methods in Analytic Number Theory, CIMPA School, Zanjan University, Iran, 07/2017.
  • J.-M. Deshouillers: Sums of powers, a probabilistic approach, Conference in the memory of Francisco Javier Cilleruelo, Madrid, 09/2017.
  • J.-M. Deshouillers: Two lectures on Sarnak conjecture and automatic sequences, Wits University and Stellenbosch Université, South Africa, 10/2018.
  • J.-M. Deshouillers: Four lectures on probabilistic number theory, IMSc, Chennai, India, 01/2018.
  • J.-M. Deshouillers: Sums of powers: old and new questions, with an emphasis on the probabilistic approach, Endowment lecture in Honour of S.S.Pillai, Ramanujan Institute, Chennai, India, 01/2018.
  • J.-M. Deshouillers: Sums of powers: old and new questions, with an emphasis on the probabilistic approach, seminar, ISI, Delhi, 02/2018.
  • J-M. Deshouillers: Values of arithmetic functions at consecutive arguments, seminar, UBC, Vancouver, Canada, 03/2018.
  • J.-M. Deshouillers: A mini course on Automatic Sequences, Lethbrige, Canada, 04/2018.
  • J.-M. Deshouillers: Probabilistic questions raised by two number theoretic topics, workshop on Probabilistic Number Theory, Montr\'{e}al, Canada, 05/2018.
  • J.-M. Deshouillers: Some arithmetic aspects of automatic sequences, University of Copenhague, Danemark, 05/2018.
  • J.-M. Deshouillers: Four lectures on Piatestki-Shapiro sequences, Infosys distinguished lectures, HRI, Allahabad, India, 09/2018.
  • M. Drmota: Special Automatic Sequences and the Sarnak Conjecture, Simon Semester Workshops: Ergodic Theory and Dynamical Systems, Bedlewo (Poland), 11/2015
  • M. Drmota: The sum-of-digits function, primes and uniform distribution modulo 1, UDT 2018 (Luminy, Marseille), 10/2018
  • M. Drmota: Digital Expansions and Uniform Distribution, TU Graz (Graz), 10/2017
  • M. Drmota: Distribution Properties of Subsequences of Automatic Sequences, Conference: Number Theory and applications (Sousse), 10/2017
  • M. Drmota: Primzahlen und automatische Folgen, Univ. Wien (Vienna), 04/2017
  • M. Drmota: Subsequences of Automatic Sequences, International Conference in Number Theory, Kerala School of Mathematics, India, 1/2017
  • M. Drmota: The discrepancy of generalized Halton sequences, Festkolloquium zum Anlass des 50. Geburtstags von Herrn Univ.Prof.Dr. Peter Grabner, TU Graz, 05/2016
  • M. Drmota: Normal Subsequences of Automatic Sequences, Ergodic Theory and its Connections with Arithmetics and Combinatorics, CIRM Luminy, 12/2016
  • G. Larcher: Analysis of lacunary trigonometric products and discrepancy of sequences in the unit interval, Colloquium on Harmonic Analysis and Discrepancy Theory, Graz, 03/2015
  • G. Larcher: On parametric Thue-Morse sequences and lacunary trigonometric products, Numeration 2015, Nancy, 05/2015
  • B. Martin:Comportement multifractal de la fonction de Brjuno, Multifractal analysis seminar, Universit\'e de Cr\'eteil, 01/2015.
  • B. Martin:On the digits of prime numbers, Conference ``Numeration'', Universit\'e de Lorraine, 05/2015.
  • B. Martin:On prime numbers with an average sum of digits, Number Theory Seminar, Technische Universit\"at Graz, 05/2016.
  • B. Martin:Sur les nombres premiers dont la somme des chiffres est moyenne, S\'eminaire de th\'eorie des nombres, Universit\'e de Lyon 1, 06/2016.
  • B. Martin:Propri\'et\'es locales des chiffres des nombres premiers, Seminar, Universit\'e de la R\'eunion, 04/2016.
  • B. Martin:On prime numbers with as many ones as zeros in their binary expansion, Quebec-Vermont Number Theory seminar, Mc Gill University, 10/2016.
  • B. Martin:On prime numbers with as many ones as zeros in their binary expansion, Number Theory seminar, Ottawa University, 10/2016.
  • B. Martin:On prime numbers with as many ones as zeros in their binary expansion, Number Theory seminar, York University, 01/2017.
  • B. Martin:Non-annulation de certaines s\'eries de Dirichlet en $s=1$, Rencontres de th\'eorie \'el\'ementaire et analytique des nombres, Paris, Henri Poincar\'e Institute, 09/2017.
  • B. Martin:Sur les nombres premiers com\-por\-tant au\-tant de~$1$ que de~$0$ en base~$2$, Jour\-n\'ees pro\-ba\-bi\-li\-t\'es-statistiques-th\'eorie ergodique d'Amiens et Calais, Amiens, 09/2017.
  • B. Martin:Comportement multifractal de la fonction de Brjuno, Number theory seminar, Nancy, 02/2018.
  • B. Martin:Sur un probl\`eme de Chowla, Combinatorics and number theory seminar, Lyon, 02/2018.
  • B. Martin:Comportement multifractal de la fonction de Brjuno, Number theory seminar, Grenoble, 03/2018.
  • C. Mauduit: Automata and number theory, First mini symposium of the Roman Number Theory Association, Rome, Italie, 05/2015
  • C. Mauduit: Presque-périodicité et pseudo-aléa, 18-ème congrès de l'Institut Universitaire de France, Montpellier, 05/2015
  • C. Mauduit: Normality along squares, Journées de Dynamique 2015, Paris, 10/2015
  • C. Mauduit: Variations sur des thèmes de théorie combinatoire des nombres, Colloque Théorie des Nombres et Applications, Monastir, Tunisie, 10/2015
  • C. Mauduit: Digits and pseudo-randomness, Colloque Dynamics and Graphs over Finite Fields : Algebraic, Number Theoretic and Algorithmic Aspects, CIRM-SMF, Luminy, 03/2016
  • L. Merai: Polynomial interpolation from powers, invited talk at University, Renyi Institute, Hungary, 02/2018
  • L. Merai: Algebraic dependence in generating functions and expansion complexity, Intern. Workshop on the Arithmetic of Finite Fields, Bergen, Norway, 06/2018
  • L. Merai: Pseudorandom sequences, Habilitation Talk, Eötvös Loránd University Budapest, Hungary, 02/2018
  • C. Müllner, Automatic Sequences fulfill the Sarnak Conjecture, Seminaire Teich (Marseille), 09/2016
  • C. Müllner, Automatic Sequences fulfill the Sarnak Conjecture, Workshop Ergodic Theory and Mobius Disjointness (Marseille), 12/2016
  • C. Müllner, Automatic Sequences fulfill the Sarnak Conjecture, Workshop: Bridges between Automatic Sequences and algebra and number theory (Mon- treal), 05/2017
  • C. Müllner, Möbius orthogonality for the Zeckendorf sum-of-digits function, Conference: Prime Numbers and Automatic Sequences: Determinism and Randomness (Marseille), 05/2017
  • C. Müllner, Möbius orthogonality for the Zeckendorf sum-of-digits function, Conference: Number Theory and applications (Sousse), 10/2017
  • C. Müllner, Automatic sequences generated by synchronizing automata fulfill the Sarnak conjecture, Number Theory, Numeration Systems, Ergodic Theory (Le Bourget du Lac), 09/2015
  • C. Müllner, Automatic sequences fulfill the Sarnak Conjecture, Seminaire Dynamique, Arithmetique, Combinatoire (Aix Marseille), 02/2016
  • C. Müllner, Automatic sequences fulfill the Sarnak Conjecture, MUDERA 2016 (Vienna), 05/2016
  • C. Müllner, Automatic sequences fulfill the Sarnak Conjecture, Conference on Elementary and Analytic number theory (ELAZ) 2016 (Strobl, Austria), 09/2016
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