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The generalized lower order of Dirichlet series

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Abstract

In this paper, we study the generalized lower order of entire functions defined by Dirichlet series. By constructing the Newton polygon based on Knopp-Kojima’s formula, we obtain a relation between the coefficients of the Dirichlet series and its generalized lower order.

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Correspondence to Yingying Huo.

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Research supported by the National Natural Science Foundation of China (11501127) and Natural Science Foundation of Guangdong Province (2018A030313954).

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Chen, Q., Huo, Y. The generalized lower order of Dirichlet series. Acta Math Sci 40, 1141–1151 (2020). https://doi.org/10.1007/s10473-020-0418-9

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  • DOI: https://doi.org/10.1007/s10473-020-0418-9

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