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Probabilistic Number Theory I : Mean-Value Theorems

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Cover of 'Probabilistic Number Theory I : Mean-Value Theorems'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Necessary Results from Measure Theory
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    Chapter 3 Arithmetical Results, Dirichlet Series
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    Chapter 4 Finite Probability Spaces
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    Chapter 5 The Turán — Kubilius Inequality and Its Dual
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    Chapter 6 The Erdös — Wintner Theorem
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    Chapter 7 Theorems of Delange, Wirsing, and Halász
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    Chapter 8 Translates of Additive and Multiplicative Functions
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    Chapter 9 Distribution of Additive Functions (mod 1)
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    Chapter 10 Mean Values of Multiplicative Functions, Halász’ Method
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    Chapter 11 Multiplicative Functions with First and Second Means
Attention for Chapter 5: The Turán — Kubilius Inequality and Its Dual
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