Topics in arithmetical functions [electronic resource] : asymptotic formulae for sums of reciprocals of arithmetical functions and related results / J.-M. de Koninck and A. Ivi�c.

By: De Koninck, J.-M. (Jean-Marie), 1948-Contributor(s): Ivi�c, A, 1949-Material type: Text

TextSeries: North-Holland mathematics studies ; 43. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 72.Publication details: Amsterdam ; New York : New York : North-Holland Pub. Co. ; Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1980. Description: 1 online resource (xvii, 262 p.)ISBN: 9780444860491; 0444860495; 9780080871547 (electronic bk.); 0080871542 (electronic bk.)Subject(s): Arithmetic functions | Fonctions arithm�etiques | MATHEMATICS -- Algebra -- Intermediate | Arithmetic functions | Reciprocal equations Asymptotic theoryGenre/Form: Electronic books.Additional physical formats: Print version:: Topics in arithmetical functions.DDC classification: 510 | 512/.72 | 512/.73 LOC classification: QA1 | .N86 no. 72ebOnline resources: ScienceDirect | Volltext

Contents:

Front Cover; Topics in Arithmetical Functions; Copyright Page; Introduction; Notation; Table of Contents; Chapter 1. Reciprocals of multiplicative functions; Chapter 2. Reciprocals of "small" additive functions; Chapter 3. Reciprocals of logarithms of multiplicative functions; Chapter 4. Suns of quotients of additive functions; Chapter 5. A sharpening of asymptotic formulae; Chapter 6. Reciprocals of "large" additive functions; Chapter 7. Reciprocals in short intervals; Chapter 8. Reciprocals of additive functions restricted to particular Sequences of Integers

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