Zelisko M. Asymptotic behaviours of maximum modulus, maximal term and mean values of Dirichlet series.

A complete conditions on exponents of Dirichlet series, under which from the above estimation of maximal term by certain convex function follows the same estimation for maximum modulus. Asymptotic behaviour of mean values of Dirichlet series and influence of arguments of the coefficients on the growth of maximum modulus are investigated. The concept of the generalized order is modified and it is indicated on its application to the study of influence of arguments of the coefficients on the growth of maximum modulus. Lower estimations of the growth of maximal term for a entire Dirichlet series in terms lower Ф-type are obtained.