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Some characterizations of specially multiplicative functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 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.
Pentti Haukkanen
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Characterizing completely multiplicative functions by generalized Möbius functions
International Journal of Mathematics and Mathematical Sciences, 2002 Using the generalized Möbius functions, μα, first introduced by Hsu (1995), two characterizations of completely multiplicative functions are given; save a minor condition they read (μαf)−1=μ−αf and fα=μ−αf.
Vichian Laohakosol +2 more
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A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]
Mathematica BohemicaA specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
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Multiplicative Square Functions
Revista Matemática Iberoamericana, 2004 We study regularity properties of a positive measure in the euclidean space in terms of two square functions which are the multiplicative analogues of the usual martingale square function and of the Lusin area function of a harmonic function.
González, María José, Nicolau, Artur
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Completely multiplicative functions arising from simple operations
International Journal of Mathematics and Mathematical Sciences, 2004 Given two multiplicative arithmetic functions, various conditions for their convolution, powers, and logarithms to be completely multiplicative, based on values at the primes, are derived together with their applications.
Vichian Laohakosol, Nittiya Pabhapote
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On the value distribution of the Smarandache multiplicative function [PDF]
, 2008 The main purpose of this paper is using the elementary method to study the value distribution property of the Smarandache multiplicative function, and give an interesting asymptotic formula for ...
Yi, Yuan, Yuan Yi
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Time-scale analysis of abrupt changes corrupted by multiplicative noise [PDF]
, 2000 Multiplicative Abrupt Changes (ACs) have been considered in many applications. These applications include image processing (speckle) and random communication models (fading).
Chabert, Marie +5 more
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Mean value of a Smarandache-Type Function [PDF]
, 2006 In this paper, we use analytic method to study the mean value properties of Smarandache-Type Multiplicative Functions Km(n), and give its asymptotic formula .
Jia, Wang
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On a Multiplicative Partition Function [PDF]
The Electronic Journal of Combinatorics, 2000 Let $D(s)=\sum^\infty_{m=1}a_mm^{-s}$ be the Dirichlet series generated by the infinite product $\prod^\infty_{k=2}(1-k^{-s})$. The value of $a_m$ for squarefree integers $m$ with $n$ prime factors depends only on the number $n$, and we let $f(n)$ denote this value.
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On the extensions of two arithmetical functions and some of their properties [PDF]
Notes on Number Theory and Discrete MathematicsIn the paper, an extension of the well-known Jordan's totient function and generalized Dedekind psi-function are proposed and some properties of theirs are studied.
Mladen Vassilev-Missana +1 more
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