Sarnak’s Conjecture: What’s New

  • Sébastien Ferenczi
  • Joanna Kułaga-Przymus
  • Mariusz LemańczykEmail author
Part of the Lecture Notes in Mathematics book series (LNM, volume 2213)


An overview of the last 7 years results concerning Sarnak’s conjecture on Möbius disjointness is presented, focusing on ergodic theory aspects of the conjecture.



The research resulting in this survey was carried out during the Research in Pairs Program of CIRM, Luminy, France, 15-19.05.2017. J. Kułaga-Przymus and M. Lemańczyk also acknowledge the support of Narodowe Centrum Nauki grant UMO-2014/15/B/ST1/03736. J. Kułaga-Przymus was also supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 647133 (ICHAOS)) and by the Foundation for Polish Science (FNP).

The authors special thanks go to N. Frantzikinakis and P. Sarnak for a careful reading of the manuscript, numerous remarks and suggestions to improve presentation. We also thank M. Baake, V. Bergelson, B. Green, D. Kwietniak, C. Mauduit and M. Radziwiłł for some useful comments on the subject.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Sébastien Ferenczi
    • 1
  • Joanna Kułaga-Przymus
    • 1
    • 2
  • Mariusz Lemańczyk
    • 2
    Email author
  1. 1.Aix-Marseille UniversitéCNRS, Centrale Marseille, Institut de Mathématiques de Marseille, I2M – UMR 7373MarseilleFrance
  2. 2.Faculty of Mathematics and Computer ScienceNicolaus Copernicus UniversityToruńPoland

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