Abstract analytic number theory /

The purpose of this book is to provide a detailed introduction to arithmetical semigroups and algebraic enumeration problems, arithmetical semigroups with analytical properties of classical type, and analytical properties of other arithmetical systems. These systems are considered in detail, yet sho...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Knopfmacher, John
Format: Electronic eBook
Language:Inglés
Published: Amsterdam : New York : North-Holland Publishing Company ; American Elsevier Publishing Company, Inc., [1975]
Series:North-Holland mathematical library ; v. 12.
Subjects:
Number theory.
Th�eorie des nombres.
MATHEMATICS > Number Theory.
Number theory
Analytische Zahlentheorie
Getaltheorie.
Nombres, Th�eorie des.
Online Access:Texto completo
Texto completo
Table of Contents:
  • Introduction
  • Part I. Arithmetical semigroups and algebraic enumeration problems ; Arithmetical semigroups
  • Arithmetical functions
  • Enumeration problems
  • Part II. Arithmetical semigroups with analytical properties of classical type ; Semigroups satisfying axiom A
  • Asymptotic enumeration, and further 'statistical' properties of arithmetical functions
  • The abstract prime number theorem
  • Fourier analysis of arithmetical functions
  • Part III. Analytical properties of other arithmetical systems ; Additive arithmetical semigroups
  • Arithmetical formations
  • Appendix 1. Some unsolved questions
  • Appendix 2. Values of [bold italic lowercase]p([italic lowercase]n) and [italic lowercase]s([italic lowercase]n).

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