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Infinite Order Dirichlet Series and Random Infinite Order Dirichlet Series

Author: XiaYiMaiErDan·APaEr
Tutor: TianHongGen
School: Xinjiang Normal University
Course: Basic mathematics
Keywords: Dirichlet series random Dirichlet series infinite Order Hyper_order
CLC: O156.4
Type: Master's thesis
Year: 2011
Downloads: 8
Quote: 0
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Abstract


The thesis consists of two big parts.The first part is about the Hyper_order of Dirichlet series of infinite order,is include the chapter one and chapter two. The second part is about the Hyper_order of Random Dirichlet series of infinite order,is include the chapter three and chapter four.chapter one First introduce Dirichlet series,order, Hyper_order and present a few lemma about convegences on the Whole complex plane and finaly get a theory about the relations between Hyper_order and the coeffecience,which is theory 1 in this thesis.chapter two Defined order and Hyper_order which is convegences on the right-half palne and present a few lemma and finaly get a theory about the relations between Hyper_order and the coeffecience, which is theory 1 in this thesis. chapter three First introduce Random Dirichlet series,order, Hyper_order and present a few lemma and finaly get a theory about the relations between Hyper_order and the coeffecience, which is theory 1 in this thesis.chapter four Defined order and Hyper_order of Random Dirichlet series which is convegences on the right-half palne and present a few lemma and finaly get a theory about the relations between Hyper_order and the coeffecience, which is theory 1 in this thesis.In this paper defined order and Hyper_order and carry on thorough of the The Hyper_order of Dirichlet series of infinite order respectively which is convegences on the Whole complex plane and is convegences on the right-half palne and study the relations between Hyper_order of Dirichlet series of infinite order and the coeffecience.and get two necessary and sufficient conditions.and for the random Dirichlet series get the same resulte.

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Number Theory > Analytic Number Theory
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