2010Mathematical NotesRequires access

On convergence and growth of multiple dirichlet series

Мейли Лианг, Зонгшенг Гао

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Abstract

In the present paper, the Valiron formula of simple Dirichlet series is extended to n -tuple Dirichlet series. And an equivalence relation between the order of n -tuple Dirichlet series and its coefficients and exponents is obtained.

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In the present paper, the Valiron formula of simple Dirichlet series is extended to n -tuple Dirichlet series. And an equivalence relation between the order of n -tuple Dirichlet series and its coefficients and exponents is obtained.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In the present paper, the Valiron formula of simple Dirichlet series is extended to n -tuple Dirichlet series. And an equivalence relation between the order of n -tuple Dirichlet series and its coefficients and exponents is obtained.

Key concepts: General Dirichlet series, Mathematics, Dirichlet series, Dirichlet eta function, Dirichlet kernel, Dirichlet conditions, Equivalence (formal languages), Dirichlet L-function

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