Topics in Arithmetical Functions

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Series: North-Holland Mathematics Studies 43

ISBN: 9780444860491, 0444860495

Size: 9 MB (8975710 bytes)

Pages: iii-xiv, 1-262/281

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J.-M. De Koninck and A. Ivić (Eds.)9780444860491, 0444860495

J.-M. de Koninck., Ivić A. Topics in arithmetical functions (1980)(ISBN 0444860495)

Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Introduction
Pages v-x
Jean-Marie De Koninck, Aleksandar Ivić

Notation
Pages xi-xiv

Chapter 1 Reciprocals of Multiplicative Functions
Pages 1-28

Chapter 2 Reciprocals of “Small” Additive Functions
Pages 29-64

Chapter 3 Reciprocals of Logarithms of Multiplicative Functions
Pages 65-93

Chapter 4 Sums of Quotients of Additive Functions
Pages 95-109

Chapter 5 A Sharpening of Asymptotic Formulae
Pages 111-146

Chapter 6 Reciprocals of “Large” Additive Functions
Pages 147-173

Chapter 7 Reciprocals in Short Intervals
Pages 175-200

Chapter 8 Reciprocals of Additive Functions Restricted to Particular Sequences of Integers
Pages 201-227

Chapter 9 Other Estimates and Some Open Problems
Pages 229-250

References
Pages 251-258

Subject Index
Pages 259-262

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