Number Theory Arising From Finite Fields Analytic And Probabilistic Theory 1st Edition by John Knopfmacher, Wen Bin Zhang 0824705777 9780824705770

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Product details:

ISBN 10: 0824705777 

ISBN 13: 9780824705770

Author: John Knopfmacher, Wen-Bin Zhang

“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

Table of contents:

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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Tags: John Knopfmacher, Wen Bin Zhang, Number, Theory