2017
Том 69
№ 6

All Issues

On the Mean Values of the Dirichlet Series

Sheremeta M. M., Zelisko M. M.

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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,+∞).

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 11, pp 1782-1795.

Citation Example: Sheremeta M. M., Zelisko M. M. On the Mean Values of the Dirichlet Series // Ukr. Mat. Zh. - 2004. - 56, № 11. - pp. 1501-1502.

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