Conditional asymptotic formulae for a class of arithmetic functions

Nowak, Werner Georg; Schmeier, Michael

doi:10.1090/S0002-9939-1988-0947644-0

Conditional asymptotic formulae for a class of arithmetic functions
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by Werner Georg Nowak and Michael Schmeier PDF

Proc. Amer. Math. Soc. 103 (1988), 713-717 Request permission

Abstract:

Under the assumption of Riemann’s Hypothesis, a general asymptotic formula for sums $\sum \nolimits _{n \leq x} {a\left ( n \right )}$ is established which applies (e.g.) to arithmetic functions $a\left ( n \right )$ defined by a kind of convolution of the Möbius function with some divisor function.

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