Number Theory Arising From Finite Fields

Analytic And Probabilistic Theory

John Knopfmacher, Wen-Bin Zhang (Autoren)

Buch | Hardcover

420 Seiten

2001
Crc Press Inc (Verlag)
978-0-8247-0577-0 (ISBN)

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This book provides the context of polynomial rings and algebraic function fields over finite fields, as well ascertain related systems, to the kind of analytic number theory appropriate to ordinary integers, algebraic number fields, and corresponding further mathematical systems.

"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.

Knopfmacher/, John; Zhang/, Wen-Bin

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

Erscheint lt. Verlag	10.4.2001
Verlagsort	Bosa Roca
Sprache	englisch
Maße	152 x 229 mm
Gewicht	635 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-8247-0577-7 / 0824705777
ISBN-13	978-0-8247-0577-0 / 9780824705770
Zustand	Neuware