A multiplicative function f is said to be specially multiplicative if there is a completely multiplicative function fA such that f(m)f(n)=∑d|(m,n)f(mn/d2)fA(d) for all m and n. For example, the divisor functions and Ramanujan's τ-function are specially multiplicative functions. Some characterizations of specially multiplicative functions are given in the literature. In this paper, we provide some further characterizations of specially multiplicative functions.Hindawi Open acces
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...
The study of Ramanujan-type congruences for functions specific to additive number theory has a long ...
positive integer. This arithmetical function is connected to the number of divisors of n, and other ...
A multiplicative function f is said to be specially multiplicative if there is a completely multipli...
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...
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Given two multiplicative arithmetic functions, various conditions for their convolution, pow-ers, an...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
The object of this paper is the set of the "arithmetical multiplicative functions", i.e. the functio...
Given two multiplicative arithmetic functions, various conditions for their convolution, powers, and...
We adapt (over $\mathbb{F}_2$) the general notions of multiplicative function, Dirichlet convolution...
This thesis gives some order estimates and asymptotic formulae associated with general classes of no...
CMOfunctions are completely multiplicative functionsffor which∑∞n=1f(n) = 0.Such functions were firs...
International audienceWe prove a structure theorem for multiplicativefunctions whichstates that an ...
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...
The study of Ramanujan-type congruences for functions specific to additive number theory has a long ...
positive integer. This arithmetical function is connected to the number of divisors of n, and other ...
A multiplicative function f is said to be specially multiplicative if there is a completely multipli...
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...
Keywords: For any positive integer n, we define f(n) as a Smarandache multiplicative function, if f(...
Given two multiplicative arithmetic functions, various conditions for their convolution, pow-ers, an...
AbstractIt is shown that certain commonly occurring conditions may be factored out of sums of multip...
The object of this paper is the set of the "arithmetical multiplicative functions", i.e. the functio...
Given two multiplicative arithmetic functions, various conditions for their convolution, powers, and...
We adapt (over $\mathbb{F}_2$) the general notions of multiplicative function, Dirichlet convolution...
This thesis gives some order estimates and asymptotic formulae associated with general classes of no...
CMOfunctions are completely multiplicative functionsffor which∑∞n=1f(n) = 0.Such functions were firs...
International audienceWe prove a structure theorem for multiplicativefunctions whichstates that an ...
The Ramanujan sum cn(a) is related to the Möbius function μ, since cn(a) = μ(n) whenever a, n∈ N are...
The study of Ramanujan-type congruences for functions specific to additive number theory has a long ...
positive integer. This arithmetical function is connected to the number of divisors of n, and other ...
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