By Wolfgang Schwarz, Jürgen Spilker
The subject matter of this ebook is the characterization of yes multiplicative and additive arithmetical features by means of combining equipment from quantity thought with a few basic rules from sensible and harmonic research. The authors accomplish that target through contemplating convolutions of arithmetical capabilities, basic mean-value theorems, and homes of comparable multiplicative services. additionally they end up the mean-value theorems of Wirsing and Hal?sz and research the pointwise convergence of the Ramanujan enlargement. ultimately, a few purposes to energy sequence with multiplicative coefficients are integrated, in addition to routines and an in depth bibliography.
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