Arithmetical Functions
by Wolfgang Schwarz;Wolfgang Spilker JurgenSchwarz (9780521427258)

Arithmetical Functions
 

Wolfgang Schwarz;Wolfgang Spilker JurgenSchwarz


Release Date: 10 March 1994
Format: Paperback / softback
Pages: 388
Category: Number Theory
ISBN: 9780521427258
ISBN-10: 0521427258



The theme of this book is the characterization of 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 Halasz 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.

AUD $120.00

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