On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions

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.