Comparison of regular convolutions

Haukkanen, Pentti

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Haukkanen, Pentti (1995)

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A generalization of Pillai's arithmetical function involving regular convolutions

László Tóth (1998)

Acta Mathematica et Informatica Universitatis Ostraviensis

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Rational arithmetical functions of order (2,1) with respect to regular convolutions.

Haukkanen, P. (1999)

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Haukkanen, Pentti (1996)

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Haukkanen, Pentti (1989)

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On a class of $ψ$ -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 $ψ$ -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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Pabhapote, Nittiya, Laohakosol, Vichian (2010)

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On the functional equation $F (m n) F ((m, n)) = F (m) F (n) f ((m, n))$

Chidambaraswamy, J. (1967)

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On a class of arithmetic convolutions involving arbitrary sets of integers.

Tóth, László (2002)

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