An application of Banach algebra techniques for multiplicative functions.
Lutz Lucht (1993)
Mathematische Zeitschrift
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Displaying similar documents to “Banach algebra techniques in the theory of arithmetic functions”
An application of Banach algebra techniques for multiplicative functions.
Average multiplicative orders of elements modulo n
Florian Luca, Igor E. Shparlinski (2003)
Acta Arithmetica
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Completely multiplicative functions arising from simple operations.
Laohakosol, Vichian, Pabhapote, Nittiya (2004)
International Journal of Mathematics and Mathematical Sciences
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Characterizing completely multiplicative functions by generalized Möbius functions.
Laohakosol, Vichian, Pabhapote, Nittiya, Wechwiriyakul, Nalinee (2002)
International Journal of Mathematics and Mathematical Sciences
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On the usual product of rational arithmetic functions
Pentti Haukkanen, Jerzy Rutkowski (1990)
Colloquium Mathematicae
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Roots of multiplicative functions
Tim Carroll, A. A. Gioia (1988)
Compositio Mathematica
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On certain arithmetic functions involving the greatest common divisor
Ekkehard Krätzel, Werner Nowak, László Tóth (2012)
Open Mathematics
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The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.
Sums of multiplicative function in special arithmetic progressions
Bin Feng (2019)
Czechoslovak Mathematical Journal
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We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).
On Mycielski's problem on systems of arithmetical progressions
Štefan Znám (1966)
Colloquium Mathematicae
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On an analogue of completely multiplicative functions.
Haukkanen, P., Ruokonen, P. (1997)
Portugaliae Mathematica
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A note on -Fibonacci sequences and specially multiplicative arithmetic functions
Emil Daniel Schwab, Gabriela Schwab (2024)
Mathematica Bohemica
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A 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 -Fibonacci sequences and specially multiplicative prime-independent arithmetic functions, are equivalent in the sense that each can be reconstructed from the other. Replacing one with another, the exploration space of both mathematical objects expands significantly. ...