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Titlebook: Limit Theorems for the Riemann Zeta-Function; Antanas Laurin?ikas Book 1996 Springer Science+Business Media Dordrecht 1996 Rang.number the

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發(fā)表于 2025-3-21 16:15:52 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Limit Theorems for the Riemann Zeta-Function
編輯Antanas Laurin?ikas
視頻videohttp://file.papertrans.cn/587/586171/586171.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Limit Theorems for the Riemann Zeta-Function;  Antanas Laurin?ikas Book 1996 Springer Science+Business Media Dordrecht 1996 Rang.number the
描述The subject of this book is probabilistic number theory. In a wide sense probabilistic number theory is part of the analytic number theory, where the methods and ideas of probability theory are used to study the distribution of values of arithmetic objects. This is usually complicated, as it is difficult to say anything about their concrete values. This is why the following problem is usually investigated: given some set, how often do values of an arithmetic object get into this set? It turns out that this frequency follows strict mathematical laws. Here we discover an analogy with quantum mechanics where it is impossible to describe the chaotic behaviour of one particle, but that large numbers of particles obey statistical laws. The objects of investigation of this book are Dirichlet series, and, as the title shows, the main attention is devoted to the Riemann zeta-function. In studying the distribution of values of Dirichlet series the weak convergence of probability measures on different spaces (one of the principle asymptotic probability theory methods) is used. The application of this method was launched by H. Bohr in the third decade of this century and it was implemented in
出版日期Book 1996
關(guān)鍵詞Rang; number theory; probability; probability theory
版次1
doihttps://doi.org/10.1007/978-94-017-2091-5
isbn_softcover978-90-481-4647-5
isbn_ebook978-94-017-2091-5
copyrightSpringer Science+Business Media Dordrecht 1996
The information of publication is updating

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Book 1996methods and ideas of probability theory are used to study the distribution of values of arithmetic objects. This is usually complicated, as it is difficult to say anything about their concrete values. This is why the following problem is usually investigated: given some set, how often do values of a
板凳
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地板
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Antanas Laurin?ikastiality, physical and mental torture on an unprecedented scale. What were the effects of this massive assault on the human spirit, on man‘s ability to assimilate such experiences, if he survived physically? While the terror of the Nazi concentration camps has been indelibly engraved in the history o
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發(fā)表于 2025-3-22 09:43:36 | 只看該作者
Antanas Laurin?ikaso integrate heterogeneous geographically and administratively dispersed sensors and IoT services in a semantically interoperable fashion. In this paper we provide an overview of the OpenIoT project, which has developed and provided a first-of-kind open source IoT platform enabling the semantic inter
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發(fā)表于 2025-3-22 19:34:23 | 只看該作者
Antanas Laurin?ikaso integrate heterogeneous geographically and administratively dispersed sensors and IoT services in a semantically interoperable fashion. In this paper we provide an overview of the OpenIoT project, which has developed and provided a first-of-kind open source IoT platform enabling the semantic inter
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Antanas Laurin?ikaspped devices (denoted as . or .), which are expected to exceed 50 billions by 2020. Smart objects, which will be pervasively deployed, are constrained devices with (i) limited processing power and available memory and (ii) limited communication capabilities, in terms of transmission rate and reliabi
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發(fā)表于 2025-3-23 05:48:35 | 只看該作者
Antanas Laurin?ikaspment of highly distributed systems running on non-reliable and heterogeneous hardware are required. Some of the main characteristics of cloud computing that has been a driving force for its success, are resource pooling, elasticity and the capacity for combining unrelated services. We believe that
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