2007Annales Polonici MathematiciOpen access

Growth of coefficients of universal Dirichlet series

Olivier Demanze, Augustin Mouze

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Abstract

We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of univ

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We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of univ

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Available abstract

We study universal Dirichlet series with respect to overconvergence, which are absolutely convergent in the right half of the complex plane. In particular we obtain estimates on the growth of their coefficients. We can then compare several classes of univ

Key concepts: Mathematics, Dirichlet series, General Dirichlet series, Series (stratigraphy), Dirichlet kernel, Dirichlet distribution, Dirichlet eta function, Absolute convergence

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