On certain aspects of the Möbius randomness principle

Davit Karagulyan Colloquium Mathematicum MSC: Primary 37B10; Secondary 37A45. DOI: 10.4064/cm7538-7-2018 Opublikowany online: 10 May 2019

Streszczenie

We study different aspects of the Möbius randomness principle. We rephrase the Chowla and Sarnak conjectures and the Riemann hypothesis for abstract sequences and study their relationship. In particular, we show that in this setting the Chowla and Sarnak conjectures do not imply the Riemann hypothesis. We also study the connections between the multiplicative and additive van der Corput criteria.

Autorzy

  • Davit KaragulyanDepartment of Mathematics
    Royal Institute of Technology
    Lindstedtsvägen 25
    S-100 44 Stockholm, Sweden
    e-mail

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