Journal of Guangdong University of Technology ›› 2023, Vol. 40 ›› Issue (03): 105-112.doi: 10.12052/gdutxb.210141

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Generalized Approximation of Random Dirichlet Series in the Right Half Plane

Hong Tian-tian, Huo Ying-ying   

  1. School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou 510520 China
  • Received:2021-09-27 Online:2023-05-25 Published:2023-06-08

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Abstract: By introducing the concept of generalized order and type, and using Newton polygon, a study is conducted on the random Dirichlet series in the right half plane whose coefficients are $\varphi $ mixing random variables and satisfying the ${({\rm{MZ}}) ^*}$ condition and obtain the relationship between the maximum modulus and the error term in approximating.

Key words: $\varphi $ mixing, random Dirichlet series, error, generalized order, generalized type

CLC Number: 

  • O174.52
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