On the Stability of the Maximum Term of the Entire Dirichlet Series

• Datum: 2005
• Hauptverfasser: Skaskiv, O. B., Trakalo, O. M., Скасків, О. Б., Тракало, О. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3623
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish necessary and sufficient conditions for logarithms of the maximal terms of the entire Dirichlet series $F(z) = \sum^{+\infty}_{n=0}a_n e^{z\lambda_n}$ and $A(z) = \sum^{+\infty}_{n=0}a_n b_n e^{z\lambda_n}$ to be asymptotically equivalent as ${\rm Re}\;z \rightarrow +\infty$ outside s...