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On the growth of an entire dirichlet series
Authors:M M Sheremeta
Abstract:We establish the relation between the increase of the quantityM(σ,F) = ∣a 0∣ + ∑ n=1 a n ∣ exp (σλ n ) and the behavior of sequences (|a n |) and (λ n ), where (λ n ) is a sequence of nonnegative numbers increasing to + ∞, andF(s) =a 0 + ∑ n=1 a n e sλn ,s=σ+it, is the Dirichlet entire series. Lviv University, Lviv. Translated from Ukrainskii Matematicheskii Zhurmal, Vol. 51, No. 8, pp. 1149–1153, August, 1999.
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