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 ( )ζ(2 − 1)ζ M (2 )H( ), where M is an arbitrary integer and H( ) has an Euler product which converges absolutely for > σ 0 , with some fixed σ 0 < 1/2.
MSC:11N37, 11A05, 11A25, 11L07