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Pillai's generalized function (Q378017)

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scientific article; zbMATH DE number 6230985
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Pillai's generalized function
scientific article; zbMATH DE number 6230985

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    Pillai's generalized function (English)
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    20 November 2013
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    The gcd-sum function, called also Pillai's function, is defined by \(P(n)=\sum_{k=1}^n (k,n)\). The author introduces the analog of this arithmetic function for the Gaussian integers and investigates its asymptotic properties.
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    gcd-sum function
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    Gaussian integers
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    asymptotic formulas
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    mean value
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