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Start Over Creator Gu, Zhendong

1. The growth of a class of random Dirichlet series on the horizontal zone

Creator:
Gu, Zhendong and Sun, Daochun
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
random Dirichlet series, Rademacher-Dirichlet series, Steinhaus-Dirichlet series, and growth
Language:
English
Description:
In the paper we obtain that, under some condition, the Rademacher-Dirichlet series or the Steinhaus-Dirichlet series on the whole plane and on the horizontal zone almost surely have the same growth.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. The growth of Dirichlet series

Creator:
Gu, Zhendong and Sun, Daochun
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Dirichlet series, order, and abscissa of convergence
Language:
English
Description:
We define Knopp-Kojima maximum modulus and the Knopp-Kojima maximum term of Dirichlet series on the right half plane by the method of Knopp-Kojima, and discuss the relation between them. Then we discuss the relation between the Knopp-Kojima coefficients of Dirichlet series and its Knopp-Kojima order defined by Knopp-Kojima maximum modulus. Finally, using the above results, we obtain a relation between the coefficients of the Dirichlet series and its Ritt order. This improves one of Yu Jia-Rong's results, published in Acta Mathematica Sinica 21 (1978), 97–118. We also give two examples to show that the condition under which the main result holds can not be weakened.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public