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г 2006
66
˲ ,
̲ ϲͲ IJв
$\Phi$ -- , $(-\infty, 0)$ , $\Phi'(\sigma)\uparrow+\infty$ $|\sigma|\Phi'(\sigma)/\Phi(\sigma)\nearrow+\infty$ $\sigma\uparrow0$, $\varphi$ -- , $\Phi'$. ij $F(s)=\displaystyle\sum_{n=0}^{\infty}a_n\exp\{s\lambda_n\}$ $M(\sigma, F)=\sup\{|F(\sigma+it)| : t\in\mathbb{R}\}$ $\mu(\sigma, F)=\max\{|a_n|\exp(\sigma, F) : n\geq\linebreak\geq0\}, \sigma<0$. , $\displaystyle\varlimsup_{t\to+\infty}|\varphi(\lambda_n)|/|\Phi^{-1}(\ln\,n)|<1$ $\ln\,\mu(\sigma, F)\leq\Phi(\sigma(1+o(1)))$ $\ln\,M(\sigma, F)\leq\Phi(\sigma(1+o(1)))$ $\sigma\uparrow0$ .
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