Relative growth of Dirichlet series with different abscissas of absolute convergence

• Date: 2020
• Main Authors: Mulyava, O. M., Sheremeta , M. M., Мулява, Оксана, Мулява, О. М., Шеремета, М. М.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6168
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.537.72 We study the growth of a Dirichlet series $F(s)=\sum _{n=1}^{\infty}f_n\exp\{s\lambda_n\}$ with zero abscissa of absolute convergence with respect to the entire Dirichlet series $G(s)=\sum _{n=1}^{\infty}g_n\exp\{s\lambda_n\}$ by using the generalized quantities of order $\varrho^0_{\...