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Titlebook: Probabilistic Number Theory I; Mean-Value Theorems P. D. T. A. Elliott Book 1979 Springer-Verlag New York Inc. 1979 Prime.Prime number.Riem

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书目名称Probabilistic Number Theory I
副标题Mean-Value Theorems
编辑P. D. T. A. Elliott
视频video
丛书名称Grundlehren der mathematischen Wissenschaften
图书封面Titlebook: Probabilistic Number Theory I; Mean-Value Theorems P. D. T. A. Elliott Book 1979 Springer-Verlag New York Inc. 1979 Prime.Prime number.Riem
出版日期Book 1979
关键词Prime; Prime number; Riemann zeta function; Wahrscheinlichkeitstheoretische Zahlentheorie; calculus; numb
版次1
doihttps://doi.org/10.1007/978-1-4612-9989-9
isbn_softcover978-1-4612-9991-2
isbn_ebook978-1-4612-9989-9Series ISSN 0072-7830 Series E-ISSN 2196-9701
issn_series 0072-7830
copyrightSpringer-Verlag New York Inc. 1979
The information of publication is updating

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Necessary Results from Measure Theory,In this chapter we collect together a number of results in measure theory and the theory of probability. We shall make use of these in subsequent chapters.
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Finite Probability Spaces,In this chapter we study certain finite probability spaces, paying particular attention to a model of Kubilius, of which we shall make much use in later chapters.
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,The Erdös — Wintner Theorem,In this chapter we begin the study of the distribution of the values of additive arithmetic functions with two theorems that have become classical. The proofs which we shall give differ considerably from those which were given in the original papers.
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Translates of Additive and Multiplicative Functions,In this chapter we apply some of the results of Chapter six. In particular we shall characterize all additive functions which, after a suitable translation, possess a limiting distribution.
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