asymptotic formulae for sums of reciprocals of arithmetical functions and related results /
First Statement of Responsibility
J.-M. de Koninck and A. Ivić.
EDITION STATEMENT
Edition Statement
2nd ed.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York :
Name of Publisher, Distributor, etc.
sole distributors for the U.S.A. and Canada, Elsevier North-Holland,
Date of Publication, Distribution, etc.
1980.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (281 p.).
SERIES
Series Title
North-Holland mathematics studies ;
Series Title
Notas de matemática ;
Volume Designation
43
Volume Designation
72
GENERAL NOTES
Text of Note
Description based upon print version of record.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Front Cover; Topics in Arithmetical Functions; Copyright Page; Table of Contents; Introduction; Notation; Chapter 1. Reciprocals of multiplicative functions; 1. Notes; Chapter 2. Reciprocals of ""small"" additive functions; 1. Introduction; 2. The method; 3. Selberg's result and basic definitions; 4. The main theorem; 5. Applications of the main theorem; 6. A generalization of the main theorem; 7. Estimates for ? 1/((n))k for an arbitrary positive n.x; Notes; Chapter 3. Reciprocals of logarithms of multiplicative functions; 1. Functions with main term asymptotic to Cx/logx
Text of Note
2. Functions with main term asymptotic to Cx/log logx 3. Functions with main term asymptotic to Cx; 4.Notes; Chapter 4. Suns of quotients of additive functions; 1. Introduction; 2. Sums of quotients of ""small"" additive functions; 3. Sums of qwtients of additive functions which behave ""like c log n""; Notes; Chapter 5. A sharpening of asymptotic formulae; 1. Introduction; 2. The lemmas; 3. The theorems; 4. Applications and remarks; Notes; Chapter 6. Reciprocals of ""large"" additive functions; 1. Introduction; 2. Bounds for sums of reciprocals