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Number theory arising from finite fields : analytic and probabilistic theory
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Number theory arising from finite fields : analytic and probabilistic theory

Author: John Knopfmacher; Wen-Bin Zhang
Publisher: New York : M. Dekker, ©2001.
Series: Monographs and textbooks in pure and applied mathematics, 241.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
A discussion of 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.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Knopfmacher, John.
Number theory arising from finite fields.
New York : M. Dekker, c2001
(DLC) 2001028554
(OCoLC)46579001
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John Knopfmacher; Wen-Bin Zhang
ISBN: 0824745000 9780824745004 0585412286 9780585412283 6610208395 9786610208395
OCLC Number: 54099829
Description: 1 online resource (vi, 404 p.)
Contents: PREFACE; CONTENTS; INTRODUCTION; ADDITIVE ARITHMETICAL SEMIGROUPS AND AXIOM A♯; ASYMPTOTIC ENUMERATION AND MORE REFINED ESTIMATES; ABSTRACT PRIME NUMBER THEOREMS (I); MORE APPLICATIONS OF PRIME COUNTING; ABSTRACT PRIME NUMBER THEOREMS (II); GENERAL MEAN-VALUE THEOREMS; BASICS OF PROBABILISTIC NUMBER THEORY FOR SEMIGROUPS; SURVEY OF SOME FURTHER TOPICS; BIBLIOGRAPHY; NOTATIONS; INDEX.
Series Title: Monographs and textbooks in pure and applied mathematics, 241.
Responsibility: John Knopfmacher, Wen-Bin Zhang.

Abstract:

A discussion of 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.

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