A generalization of Pillai's arithmetical function involving regular convolutions
László Tóth (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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László Tóth (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Tóth, László (1997)
Mathematica Pannonica
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Haukkanen, P., Ruokonen, P. (1997)
Portugaliae Mathematica
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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.
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Colloquium Mathematicae
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Colloquium Mathematicum
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Colloquium Mathematicum
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