By Wolfgang Schwarz,Jürgen Spilker

the purpose of this publication is to represent definite multiplicative and additive arithmetical capabilities through combining tools from quantity conception with a few easy rules from useful and harmonic research. The authors do so target via contemplating convolutions of arithmetical capabilities, easy mean-value theorems, and houses of similar multiplicative services. additionally they end up the mean-value theorems of Wirsing and Halász and examine the pointwise convergence of the Ramanujan growth. eventually, a few purposes to strength sequence with multiplicative coefficients are integrated, besides workouts and an intensive bibliography.

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Arithmetical Functions (London Mathematical Society Lecture Note Series) by Wolfgang Schwarz,Jürgen Spilker

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