Three-term exponential asymptotic for the maximal term of an entire Dirichlet series (in Ukrainian)
Journal: Matematychni Studii (Vol.35, No. 1)Publication Date: 2011-01-01
Authors : Hrytsiv M. M.; Sheremeta M. M.;
Page : 37-49
Keywords : Dirichlet series; Three-term exponential asymtotic;
Abstract
Conditions on the coefficients and the exponents of an entire Dirichlet series, under which for its maximal term the asymptotic equality $lnmu(sigma)=T_1e^{varrho_1sigma}+T_2e^{varrho_2sigma}+(tau+o(1))e^{varrhosigma}$ $(sigmato +infty)$ is valid, where $00$, $T_{2}in Rbackslash {0}$ and $tauin Rbackslash {0}$, are found.
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