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THE GROWTH OF DIRICHLET SERIES AND RANDOM DIRICHLET SERIES IN THE HALF PLANE[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).
Citation: THE GROWTH OF DIRICHLET SERIES AND RANDOM DIRICHLET SERIES IN THE HALF PLANE[J]. Journal of South China Normal University (Natural Science Edition), 2011, (2).
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THE GROWTH OF DIRICHLET SERIES AND RANDOM DIRICHLET SERIES IN THE HALF PLANE

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  • By the method from Knopp-Kojima, the growths of Dirichlet series and random Dirichlet series in the right half plane are studied. The necessary and sufficient conditions of the orders, which are expressed by the coefficients, are obtained. It is shown that the growth of random Dirichlet series in the right half plane is almost the same as what in the horizontal half zone under some conditions.
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