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Probabilistic Number Theory I

Mean-Value Theorems

  • Book
  • © 1979

Overview

Authors:
  1. P. D. T. A. Elliott

    1. Department of Mathematics, University of Colorado, Boulder, USA

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 239)

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Introduction

    • P. D. T. A. Elliott
    Pages 1-15

  3. Necessary Results from Measure Theory

    • P. D. T. A. Elliott
    Pages 16-78

  4. Arithmetical Results, Dirichlet Series

    • P. D. T. A. Elliott
    Pages 79-114

  5. Finite Probability Spaces

    • P. D. T. A. Elliott
    Pages 115-146

  6. The Turán — Kubilius Inequality and Its Dual

    • P. D. T. A. Elliott
    Pages 147-186

  7. The Erdös — Wintner Theorem

    • P. D. T. A. Elliott
    Pages 187-224

  8. Theorems of Delange, Wirsing, and Halász

    • P. D. T. A. Elliott
    Pages 225-256

  9. Translates of Additive and Multiplicative Functions

    • P. D. T. A. Elliott
    Pages 257-283

  10. Distribution of Additive Functions (mod 1)

    • P. D. T. A. Elliott
    Pages 284-307

  11. Mean Values of Multiplicative Functions, Halász’ Method

    • P. D. T. A. Elliott
    Pages 308-332

  12. Multiplicative Functions with First and Second Means

    • P. D. T. A. Elliott
    Pages 333-359

  13. Back Matter

    Pages I-XXXIII
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Keywords

Authors and Affiliations

  • Department of Mathematics, University of Colorado, Boulder, USA

    P. D. T. A. Elliott

Bibliographic Information

  • Book Title: Probabilistic Number Theory I

  • Book Subtitle: Mean-Value Theorems

  • Authors: P. D. T. A. Elliott

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-1-4612-9989-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1979

  • Softcover ISBN: 978-1-4612-9991-2Published: 06 November 2011

  • eBook ISBN: 978-1-4612-9989-9Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: 393

  • Topics: Algebra

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