Topics in Arithmetical Functions 9780444860491, 0444860495
J.-M. de Koninck., Ivić A. Topics in arithmetical functions (1980)(ISBN 0444860495)
257 41 107KB
English Pages iii-xiv, 1-262 [281] Year 1980
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
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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