Arithmetical Functions / Wolfgang Schwarz, Jürgen Spilker.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 184Publisher: Cambridge : Cambridge University Press, 1994Description: 1 online resource (388 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781107359963 (ebook)Subject(s): Arithmetic functions | Number theory | Mean value theorems (Calculus) | Number theoryAdditional physical formats: Print version: : No titleDDC classification: 512/.73 LOC classification: QA245 | .S39 1994Online resources: Click here to access online 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12150 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
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