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Arithmetical Functions
Wolfgang SchwarzJürgen Spilker
出版Cambridge University Press, 1994-03-10
主題MATHEMATICS / Algebra / IntermediateMathematics / ArithmeticMathematics / Number Theory
ISBN05214272589780521427258
URLhttp://books.google.com.hk/books?id=myiP_n4camIC&hl=&source=gbs_api
EBookSAMPLE
註釋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 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.