On relationship between maximum of modulus and maximal term of entire Dirichlet series (in Ukrainian)

Let $L$ be a class of continuous non-negative insreasing to $+\infty$ on $[0,+\infty)$ functions. $\varphi\in L_{SI}$ if $\varphi\in L$ and $\varphi(2x)\sim\varphi(x)$ as $x\to\infty.$ For insreasing unbounded sequence $\Lambda=(\lambda_n)_{n=0}^{\infty}$ of non-negative numbers and function $\psi\in L$ by $S_{\psi}(\Lambda)$ we denote by a class of entire Dirichlet series $F(s)=\sum_{n=0}^{\infty} a_n\exp(s\lambda_n),$ $s=\sigma+it,$ such that $|a_n|\le exp(-\lambda_n)\psi(\lambda_n),$ $n\ge n_0.$ Denote $M(\sigma,F)=\sup\{|F(\sigma+it)| \ t\in\mathbb{R}\},$ $\mu(\sigma,F)=\max\{|a_n|\exp(\sigma\lambda_n): \ n\ge 0\}.$ There are presented necessary and sufficient conditions providing $\ln M(\sigma,F)\sim\ln\mu(\sigma,F)$ or $\phi(\ln M(\sigma,F))\sim\phi(\ln\mu(\sigma,F))$ as $\sigma\to+\infty$