On a class of arithmetic convolutions involving arbitrary sets of integers.
Tóth, László (2002)
Mathematica Pannonica
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Displaying similar documents to “A generalization of Pillai's arithmetical function involving regular convolutions”
On a class of arithmetic convolutions involving arbitrary sets of integers.
Asymptotic formulae concerning arithmetical functions defined by cross-convolutions. VI: --free integers.
Tóth, László (1997)
Mathematica Pannonica
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On generalized Landau identities.
Haukkanen, Pentti (1995)
Portugaliae Mathematica
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A property of generalized Ramanujan's sums concerning generalized completely multiplicative functions.
Haukkanen, Pentti (1989)
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Rational arithmetical functions of order (2,1) with respect to regular convolutions.
Haukkanen, P. (1999)
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Haukkanen, P., Ruokonen, P. (1997)
Portugaliae Mathematica
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On an inequality related to the Legendre totient function.
Haukkanen, Pentti (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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On a class of -convolutions characterized by the identical equation
Jean-Louis Nicolas, Varanasi Sitaramaiah (2002)
Journal de théorie des nombres de Bordeaux
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The identical equation for multiplicative functions established by R. Vaidyanathaswamy in the case of Dirichlet convolution in 1931 has been generalized to multiplicativity preserving -convolutions satisfying certain conditions (cf. [7]) which can be called as Lehmer-Narkiewicz convolutions for some reasons. In this paper we prove the converse.
On a class of arithmetical convolutions
W. Narkiewicz (1963)
Colloquium Mathematicae
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A characterization of α-convolutions
J. Kucharczak (1973)
Colloquium Mathematicae
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