Collected Notes and Resources

Introductory surveys

Surveys from a dynamical point of view

  • Sébastien Ferenczi, Joanna Kułaga-Przymus, and Mariusz Lemańczyk. Sarnak’s conjecture: what’s new.
    • Handout summarizing important results about multiplicative functions appearing in Section 2 of the survey (compiled by Ethan Ackelsberg). [pdf]

Möbius disjointness for special classes of functions


Chowla conjecture

Kátai’s orthogonality criterion

Relationship between the Sarnak conjecture, the Chowla conjecture, and the Riemann hypothesis