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

Tóth, László

Displaying similar documents to “On a class of arithmetic convolutions involving arbitrary sets of integers.”

A generalization of Pillai's arithmetical function involving regular convolutions

László Tóth (1998)

Acta Mathematica et Informatica Universitatis Ostraviensis

Similarity:

Asymptotic formulae concerning arithmetical functions defined by cross-convolutions. VI: $A$ - $k$ -free integers.

Tóth, László (1997)

Mathematica Pannonica

Similarity:

On an analogue of completely multiplicative functions.

Haukkanen, P., Ruokonen, P. (1997)

Portugaliae Mathematica

Similarity:

On a class of $ψ$ -convolutions characterized by the identical equation

Jean-Louis Nicolas, Varanasi Sitaramaiah (2002)

Journal de théorie des nombres de Bordeaux

Similarity:

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.