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Mean values of multiplicative functions over function fields [PDF]

Research in Number Theory, 2015
We discuss the mean values of multiplicative functions over function fields. In particular, we adapt the authors’ new proof of Halász’s theorem on mean values to this simpler setting.
Andrew Granville, Kannan Soundararajan, Soundararajan Kannan   +2 more
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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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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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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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The functions of multiple representations

Computers & Education, 1999
Multiple representations and multi-media can support learning in many diAerent ways. In this paper, it is claimed that by identifying the functions that they can serve, many of the conflicting findings arising out of the existing evaluations of multi-representational learning environments can be explained.
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Coded Computation of Multiple Functions

2023 IEEE Information Theory Workshop (ITW), 2023
National Research Foundation (NRF)
Wilton Kim, Stanislav Kruglik, Han Mao Kiah   +2 more
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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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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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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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