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E-book
Author Schwarz, Wolfgang, 1934-2013

Title Arithmetical functions : an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties / Wolfgang Schwarz, Jürgen Spilker
Published Cambridge ; New York : Cambridge University Press, ©1994

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Description 1 online resource (xix, 367 pages) : illustrations, portraits
Series London Mathematical Society lecture note series ; 184
London Mathematical Society lecture note series ; 184.
Summary The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Halász and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography
Analysis Number theory
Bibliography Includes bibliographical references (pages 333-352) and indexes
Notes English
Print version record
Subject Arithmetic functions.
Number theory.
Mean value theorems (Calculus)
MATHEMATICS -- Algebra -- Intermediate.
Arithmetic functions
Mean value theorems (Calculus)
Number theory
Zahlentheoretische Funktion
Speciale functies (wiskunde)
Teoria analítica dos números.
Fonctions arithmétiques.
Nombres, théorie des.
Form Electronic book
Author Spilker, Jürgen.
ISBN 9781107359963
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