| Document Type
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BL
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| Record Number
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975749
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| Doc. No
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b730119
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| Main Entry
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De Koninck, J.-M., (Jean-Marie),1948-
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| Title & Author
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Topics in arithmetical functions : asymptotic formulae for sums of reciprocals of arithmetical functions and related results /\ J.-M. de Koninck and A. Ivić.
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| Edition Statement
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2nd ed.
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| Publication Statement
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Amsterdam ;New York :: North-Holland Pub. Co. :New York :: sole distributors for the U.S.A. and Canada, Elsevier North-Holland,, 1980.
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| Series Statement
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North-Holland mathematics studies ;; 43
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Notas de matemática ;; 72
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| Page. NO
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1 online resource (281 p.).
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| ISBN
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0080871542
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: 1281797197
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: 661179719X
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: 9780080871547
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: 9781281797193
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: 9786611797195
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| Notes
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Description based upon print version of record.
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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
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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
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| Abstract
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Topics in arithmetical functions.
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| Subject
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Arithmetic functions.
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| Subject
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Functional analysis, Congresses.
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| Subject
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Arithmetic functions.
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| Subject
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Functional analysis.
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| Dewey Classification
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510 s 512/.72 19510 s512.72512.73
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| LC Classification
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QA245.K66 1980
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| Added Entry
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Ivić, A.,1949-
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