@article{ae01279a55a648d0813a05287474f1a1,
title = "A generalization of K{\'a}tai{\textquoteright}s orthogonality criterion with applications",
keywords = "Abundant numbers, Additive functions, Deficient numbers, Ergodic sequences, Hardy fields, K{\'a}tai{\textquoteright}s orthogonality criterion, Multiplicative functions, Prime numbers, Uniform distribution mod 1",
author = "Vitaly Bergelson and Joanna Ku{\l}aga-Przymus and Mariusz Lema{\'n}czyk and Richter, {Florian K.}",
note = "Funding Information: The first author gratefully acknowledges the support of the NSF under grant DMS-1500575. The second author is supported by Narodowe Centrum Nauki UMO-2014/15/B/ST1/03736, the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (grant agreement No 647133 (ICHAOS)) and Foundation for Polish Science (FNP). The third author is supported by Narodowe Centrum Nauki UMO-2014/15/B/ST1/03736 and the EU grant “AOS”, FP7-PEOPLE-2012-IRSES, No 318910. We thank the anonymous referee for helpful comments and suggestions. We also thank H. Daboussi for providing additional references regarding Theorem 1.1.",
year = "2019",
month = may,
doi = "10.3934/dcds.2019108",
language = "English (US)",
volume = "39",
pages = "2581--2612",
journal = "Discrete and Continuous Dynamical Systems- Series A",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
}