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On certain aspects of the möbius randomness principle
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2019 (English)In: Colloquium Mathematicum, ISSN 0010-1354, E-ISSN 1730-6302, Vol. 157, no 2, p. 231-250Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Institute of Mathematics. Polish Academy of Sciences , 2019. Vol. 157, no 2, p. 231-250
Keywords [en]
Mobius randomness principle, Chowla conjecture, Riemann hypothesis, multiplicative van der Corput criterion
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-255779DOI: 10.4064/cm7538-7-2018ISI: 000477075600006Scopus ID: 2-s2.0-85069813774OAI: oai:DiVA.org:kth-255779DiVA, id: diva2:1341547
Note

QC 20190809

Available from: 2019-08-09 Created: 2019-08-09 Last updated: 2019-08-09Bibliographically approved

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Karagulyan, Davit

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