The Growth of Random Dirichlet Series |
Received:April 15, 2006 Revised:August 28, 2006 |
Key Words:
random Dirichlet series order lower order infinite order type function.
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Fund Project:the National Natural Science Foundation of China (No.10471048); Specialized Research Fund for the Doctoral Program of Higher Education (No.20050574002). |
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Abstract: |
For a known random Dirichlet series of infinite order on the whole plane, the authors construct a Dirirchlet series such that the growth of both series referring to the type function is the same. Thus one can study the growth of the former by studying the coefficient and exponent of the latter. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2008.04.039 |
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