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  • 1
    Electronic Resource
    Electronic Resource
    Aufeinanderfolgende Elemente in multiplikativen Zahlenmengen (1979)
    Springer
    Monatshefte für Mathematik 87 (1979), S. 15-19 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract LetM ⊂ ℕ be a multiplicative set with 1∈M andmn∈M if and only ifm∈M,n∈M for (m,n)=1. It is shown by elementary means that there exists the asymptotic density of the setM∩(M−1) for every multiplicative setM. The density is positive if and only ifM possesses a positive density and 2ν∈M for some ν∈ℕ. This result is slightly generalized to sums over multiplicative functionsf with |f|≤1.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01470935
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