Rearrangement Of The Series Coefficients

The relations between the rearrangement of the coefficients of a Dirichlet series and the order of growth of this series sum-functions were investigated. The rearrangement characteristics of two type of the Dirichlet series2 sum-function with the same order of growth ( ρ =+∞ or ρ =0) were obtained. The rearrangemen characteristics of some Power series and Dirichlet series with the same orde of growth or type were described.