Riemann zeta stochastic process

被引：2

作者：

Ehm, Werner ^{[1
]}

机构：

[1] Inst Frontier Areas Psychol & Mental Hlth, D-79078 Freiburg, Germany

来源：

COMPTES RENDUS MATHEMATIQUE | 2007年 / 345卷 / 05期

关键词：

D O I：

10.1016/j.crma.2007.07.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well-known that for every sigma > 1 the function t -> zeta(sigma + it)/zeta(sigma) represents the characteristic function of an infinitely divisible probability distribution. The purpose of this Note is to present a construction of a stochastic process having these distributions as its marginals. Functional limit theorems for this 'zeta process' and other related processes are also indicated.

引用

页码：279 / 282

页数：4

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