Abstract
For Dirichlet series with arbitrary abscissa of absolute convergence, we investigate the relationhip between the increase in the maximum term and \(\left( {\mathop \sum \nolimits_{n = 1}^\infty \left| {a_n } \right|^q \exp \{ q\sigma \lambda _n \} } \right)^{1/q}\), q ∈ (0,+∞).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 11, pp. 1501–1512, November, 2004.
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Zelisko, M.M., Sheremeta, M.M. On the Mean Values of the Dirichlet Series. Ukr Math J 56, 1782–1795 (2004). https://doi.org/10.1007/s11253-005-0151-5
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DOI: https://doi.org/10.1007/s11253-005-0151-5