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Number Theory Arising From Finite Fields
Analytic And Probabilistic Theory




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ISBN 9780824705770
Published April 10, 2001 by CRC Press
418 Pages

 
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Book 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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Author(s)

Biography

Knopfmacher\, John; Zhang\, Wen-Bin