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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Conditional asymptotic formulae for a class of arithmetic functions


Authors: Werner Georg Nowak and Michael Schmeier
Journal: Proc. Amer. Math. Soc. 103 (1988), 713-717
MSC: Primary 11N37; Secondary 11M26, 11M41
MathSciNet review: 947644
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0947644-0
PII: S 0002-9939(1988)0947644-0
Keywords: Arithmetic functions, convolution method, Riemann's Hypothesis
Article copyright: © Copyright 1988 American Mathematical Society