Number theory arising from finite fields : analytic and probabilistic theory

Bibliographic Information

Number theory arising from finite fields : analytic and probabilistic theory

John Knopfmacher, Wen-Bin Zhang

(Monographs and textbooks in pure and applied mathematics, 241)

Marcel Dekker, c2001

Available at  / 45 libraries

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Note

Bibliography: p. 385-396

Includes index

Description and Table of Contents

Description

"Number Theory Arising from Finite Fields: Analytic and Probabilistic Theory" offers a discussion of the advances and developments in the field of number theory arising from finite fields. It emphasizes mean-value theorems of multiplicative functions, the theory of additive formulations, and the normal distribution of values from additive functions. The work explores calculations from classical stages to emerging discoveries in alternative abstract prime number theorems.

Table of Contents

Introduction 1. Additive Arithmetical Semigroups and Axiom A# 2. Asymptotic Enumeration and More Refined Estimates 3. Abstract Prime Number Theorems (I) 4. More Applications of Prime Counting 5. Abstract Prime Number Theorems (II) 6. General Mean-Value Theorems 7. Basics of Probabilistic Number Theory for Semigroups 8. Survey of Some Further Topics

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Details

  • NCID
    BA5179845X
  • ISBN
    • 0824705777
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    vi, 404 p.
  • Size
    24 cm
  • Parent Bibliography ID
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