Topics in arithmetical functions, Volume 43: Asymptotic formulae for sums of reciprocals of arithmetical functions and related results (North-Holland Mathematics Studies)

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