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Arithmetical Functions by Wolfgang Schwarz
Book DescriptionThe 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 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.
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Book DetailsISBN: 9780521427258
(228mm x 152mm x 22mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 10-Mar-1994
Country of Publication: United Kingdom
Books By Author Wolfgang Schwarz
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Overviewing topics in cellular electrophysiology, this book moves from bioelectric phenomena recognized as far back as ancient Egypt to the perils of electrosmog. Without sacrificing scientific precision, it presents the methods, applications and biophysical fundamentals of ionchannel and carrier proteins, with numerous illustrations and questions.
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