Abstract
The paper deals with lower bounds for the remainder term in asymptotics for a certain class of arithmetic functions. Typically, these are generated by a Dirichlet series of the form ζ 2(s)ζ(2s−1)ζ M(2s)H(s), where M is an arbitrary integer and H(s) has an Euler product which converges absolutely for R s > σ0, with some fixed σ0 < 1/2.
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To Professor Andrzej Schinzel on his 75th birthday
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Kühleitner, M., Nowak, W.G. On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions. centr.eur.j.math. 11, 477–486 (2013). https://doi.org/10.2478/s11533-012-0143-2
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DOI: https://doi.org/10.2478/s11533-012-0143-2