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The growth of double Dirichlet series. (Chinese. English summary) Zbl 1212.30006

Summary: The authors first study the relations among the coefficients, exponents, and growth of double Dirichlet series, and obtain a necessary and sufficient condition of \(\theta\) linear lower order, and further give an estimate of \(\theta\) linear order of double Dirichlet series in every pair of horizontal straight lines.

MSC:

30B50 Dirichlet series, exponential series and other series in one complex variable
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