Add to ORKGUsing the generalized Möbius functions, µα, first introduced by Hsu (1995), two charac-terizations of completely multiplicative functions are given; save a minor condition they read (µαf)−1 = µ−αf and fα = µ−αf. 2000 Mathematics Subject Classification: 11A25. 1. Introduction. Hsu [6
Let A be a complex Banach algebra with a unit e, let T, φ be continuous functionals, where T is line...
International audienceWe prove a structure theorem for multiplicativefunctions whichstates that an ...
AbstractIn this paper we study some of the properties of specially multiplicative functions, which a...
Using the generalized Möbius functions, µα, first introduced by Hsu (1995), two charac-terizations o...
Given two multiplicative arithmetic functions, various conditions for their convolution, pow-ers, an...
A multiplicative function f is said to be specially multiplicative if there is a completely multipli...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
Given two multiplicative arithmetic functions, various conditions for their convolution, powers, and...
CMOfunctions are completely multiplicative functionsffor which∑∞n=1f(n) = 0.Such functions were firs...
International audienceEuler published a formula that now reads View the MathML source∑1∞λ(n)n=0, λ ...
AbstractEuler published a formula that now reads ∑1∞λ(n)n=0, λ being the completely multiplicative f...
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Dedicated to Paulo Ribenboim on the occasion of his 80th birthday. RÉSUMÉ. Nous développons une théo...
The object of this paper is the set of the "arithmetical multiplicative functions", i.e. the functio...
Let χ0, χ1, χ2, … be the sequence of all Dirichlet characters (in which the principal character χ0 o...
Let A be a complex Banach algebra with a unit e, let T, φ be continuous functionals, where T is line...
International audienceWe prove a structure theorem for multiplicativefunctions whichstates that an ...
AbstractIn this paper we study some of the properties of specially multiplicative functions, which a...
Using the generalized Möbius functions, µα, first introduced by Hsu (1995), two charac-terizations o...
Given two multiplicative arithmetic functions, various conditions for their convolution, pow-ers, an...
A multiplicative function f is said to be specially multiplicative if there is a completely multipli...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
Given two multiplicative arithmetic functions, various conditions for their convolution, powers, and...
CMOfunctions are completely multiplicative functionsffor which∑∞n=1f(n) = 0.Such functions were firs...
International audienceEuler published a formula that now reads View the MathML source∑1∞λ(n)n=0, λ ...
AbstractEuler published a formula that now reads ∑1∞λ(n)n=0, λ being the completely multiplicative f...
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Dedicated to Paulo Ribenboim on the occasion of his 80th birthday. RÉSUMÉ. Nous développons une théo...
The object of this paper is the set of the "arithmetical multiplicative functions", i.e. the functio...
Let χ0, χ1, χ2, … be the sequence of all Dirichlet characters (in which the principal character χ0 o...
Let A be a complex Banach algebra with a unit e, let T, φ be continuous functionals, where T is line...
International audienceWe prove a structure theorem for multiplicativefunctions whichstates that an ...
AbstractIn this paper we study some of the properties of specially multiplicative functions, which a...