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Maximal Term of the Modified Dirichlet Series

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Abstract

We establish a criterion for the logarithm of the maximal term of a Dirichlet series absolutely convergent in the half-plane to be equivalent on an asymptotic set to the logarithm of the maximal term of its Hadamard composition with any other Dirichlet series from a certain class.

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  1. Ural Scientific Center of the Russian Academy of Sciences, Mathematics Institute and Computer Center, Ufa

    A. M. Gaisin

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  1. A. M. Gaisin
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Gaisin, A.M. Maximal Term of the Modified Dirichlet Series. Mathematical Notes 69, 756–769 (2001). https://doi.org/10.1023/A:1010274213846

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  • DOI: https://doi.org/10.1023/A:1010274213846

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