CONVERGENCE AND GROWTH OF MULTIPLE DIRICHLET SERIES |
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| Authors: | Liang Meili Gao Zongsheng |
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| Institution: | LMIB and Department of Mathematics, Bcihang University, Beijing 100083, China |
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| Abstract: | This article investigates the convergence and growth of multiple Dirichlet series.The Valiron formula of 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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| Keywords: | multiple Dirichlet series convergent abscissa maximal module maximal term order |
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