Articles

THE GENERALIZED LOWER ORDER OF DIRICHLET SERIES

  • Qingyuan CHEN ,
  • Yingying HUO
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  • School of Mathematics, Guangdong University of Technology, Guangzhou 510006, China

Received date: 2019-03-05

  Revised date: 2019-09-10

  Online published: 2020-08-21

Supported by

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

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.

Cite this article

Qingyuan CHEN , Yingying HUO . THE GENERALIZED LOWER ORDER OF DIRICHLET SERIES[J]. Acta mathematica scientia, Series B, 2020 , 40(4) : 1141 -1151 . DOI: 10.1007/s10473-020-0418-9

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