Results 321 to 330 of about 10,952,690 (356)

Identities for Multiplicative Functions

Canadian Mathematical Bulletin, 1967
Throughout this paper the arithmetic functions L(n) and w(n) denote respectively the number and product of the distinct prime divisors of the integer n > 1, with L(1) = 0 and w(1) = 1. Also letWe recall that an arithmetic function f(n) is said to be multiplicative if f(1) = 1 and f(mn) = f(m)f(n) whenever (m, n) = 1, where (m, n) denotes as usual ...
Subbarao, M. V., Gioia, A. A.
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On $q$-multiplicative functions

Publicationes Mathematicae Debrecen, 2002
Let \(g:{\mathbb N}_0\to{\mathbb C}\) be a \(q\)-multiplicative function with modulus \(1\), i.e.
Indlekofer, K.-H., Kátai, I., Lee, Y.-W.   +2 more
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MULTIPLICATION OF WEAK FUNCTIONS

Acta Mathematica Scientia, 2005
This paper is a continuation of the authors' recent work [\textit{X. Ding} and \textit{P. Luo}, Acta Math. Sci., Ser. B, Engl. Ed. 24, 691--697 (2004; Zbl 1081.33012)] and is concerned with multiplication of weak functions. Here the weak functions are treated as generalized expansions in Hermite functions just as in the same authors' earlier paper ...
Ding, Xiagi, Wang, Zhen
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Multiple gamma functions, multiple sine functions, and Appell’s O-functions

The Ramanujan Journal, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Summation of multiplicative functions

Russian Mathematical Surveys, 2002
Es seien \(f_1(n)\) eine total und \(f_2(n)\) eine streng multiplikative zahlentheoretische Funktion und \(f(n)=f_1(n)f_2(n)\). \(f_2(n)\) heißt dabei streng multiplikativ, wenn \(f_2(p^a)= f_2(p)\) für jede Primzahl \(p\) und jede natürliche Zahl \(a\) ist. Es sei \(k\) eine natürliche Zahl.
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Heteroscedastic BART via Multiplicative Regression Trees

, 2020
Bayesian additive regression trees (BART) has become increasingly popular as a flexible and scalable nonparametric regression approach for modern applied statistics problems. For the practitioner dealing with large and complex nonlinear response surfaces,
M. Pratola, H. Chipman, Edward I. George, R. McCulloch   +3 more
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Multiplicative Utility Functions

Operations Research, 1974
This paper presents sufficient conditions for a multiattribute utility function to be either multiplicative or additive. The number of requisite assumptions to imply the main result is equal to the number of attributes. Because the assumptions involve only trade-offs between two attributes at a time or lotteries over one attribute, it is reasonable to
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Some Multiplicative Functionals

Canadian Journal of Mathematics, 1953
This note concerns itself primarily with the representation of continuous multiplicative functionals on L2 types of rings or Banach algebras to the real or complex fields where convolution is taken as the ring multiplication.
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The multiple functions of Numb

Experimental Cell Research, 2010
Numb is an evolutionary conserved protein that plays critical roles in cell fate determination. Mammalian Numb displays a higher degree of structural complexity compared to the Drosophila homolog based on the number of encoding genes (Numb and Numb-like) and of alternative spliced isoforms.
GULINO, Alberto, DI MARCOTULLIO, LUCIA, SCREPANTI, Isabella   +2 more
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Approximately Multiplicative Functionals

Journal of the London Mathematical Society, 1986
Let \({\mathfrak A}\) be a commutative Banach algebra with dual \({\mathfrak A}^*\). For \(\phi \in A^*\), define \({\breve \phi}\)(a,b)\(=\phi (ab)- \phi (a)\phi (b)\), and call \(\phi\delta\)-multiplicative iff \(\| {\breve \phi}\| \leq \delta\). \({\mathfrak A}\) is an algebra in which approximately multiplicative functionals are near multiplicative
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