Inequalities for Dirichlet series with positive coefficients and related integralsНеравенства для рядов Дирихле с положительными коэффициентами и соответствующих интегралов
Mulholland proved several interesting results for Dirichlet series and related integrals. A few of these results have been recently generalized. The aim of the present paper is to improve further these theorems and to prove certain converse statements. Finally, we show that our theorems cannot be improved any longer.