Overview

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.

Full Product Details

Author:   John Knopfmacher ,  Wen-Bin Zhang ,  Wen-Bin Zhang (University of Illnois at Urbana-Champaign, USA) ,  Earl Taft
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Volume:   v. 241
Dimensions:   Width: 15.20cm , Height: 2.40cm , Length: 22.90cm
Weight:   0.635kg
ISBN:  

9780824705770

ISBN 10:   0824705777
Pages:   420
Publication Date:   10 April 2001
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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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Knopfmacher\, John; Zhang\, Wen-Bin

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