Number theory arising from finite fields : analytic and probabilistic theory

書誌事項

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

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注記

Bibliography: p. 385-396

Includes index

内容説明・目次

内容説明

"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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BA5179845X
  • ISBN
    • 0824705777
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    vi, 404 p.
  • 大きさ
    24 cm
  • 親書誌ID
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