Abstract
Let F and G be entire functions given by Dirichlet series with exponents increasing to + ∞ and ρ R F G be the R -order of F with respect to a function G . The quantities T R [ F ] G = lim ¯ σ → + ∞ e x p M G - 1 ( M F ( σ ) ) e x p ρ R [ F ] G σ , t R [ F ] G = lim σ → + ∞ e x p M G - 1 ( M F ( σ ) ) e x p ρ R [ F ] G σ are called the R -type and the lower R -type of F with respect to G . A connection between T R [ F ] G , t R [ F ] G and the R -types and the lower R -types of F and G is demonstrated.
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