ALMOST SURE AND QUASI-SURE GROWTH OF DIRICHLET SERIES

摘要

For a given Dirichlet series absolutely convergent and of order (R)ρ∈(0, +∞) in the right-half plan, its terms can be multiplied respectively by the members of a suitable sequence defined in a probability or topological space such that the series obtained is of order (R)ρ on any one of countably infinite horizontal half-lines almost or quasi surely.