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  3. Arithmetical Functions
  • Cited by 55
Publisher:
Cambridge University Press
Online publication date:
June 2013
Print publication year:
1994
Online ISBN:
9781107359963
DOI:
https://doi.org/10.1017/CBO9781107359963
Subjects:
Mathematics (general), Mathematics, Number Theory, Discrete Mathematics Information Theory and Coding
Series:
London Mathematical Society Lecture Note Series (184)
Information

Book description

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.

Reviews

"...a pleasant, courteous, thorough introduction to some of the more civilized areas of number theory, especially spaces of arithmetical functions and allied subjects...downright readable, and a book to be owned by every library, without question." The Bulletin of Mathematics Books

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