Schwarz, Wolfgang,
Arithmetical Functions / Wolfgang Schwarz, Jürgen Spilker. - Cambridge : Cambridge University Press, 1994. - 1 online resource (388 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 184 . - London Mathematical Society Lecture Note Series ; no. 184. .
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.
9781107359963 (ebook)
Arithmetic functions
Number theory
Mean value theorems (Calculus)
Number theory
QA245 / .S39 1994
512/.73
Arithmetical Functions / Wolfgang Schwarz, Jürgen Spilker. - Cambridge : Cambridge University Press, 1994. - 1 online resource (388 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 184 . - London Mathematical Society Lecture Note Series ; no. 184. .
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.
9781107359963 (ebook)
Arithmetic functions
Number theory
Mean value theorems (Calculus)
Number theory
QA245 / .S39 1994
512/.73