The Fourier transform of functions of the greatest common divisor.
Schramm, Wolfgang (2008)
Integers
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Schramm, Wolfgang (2008)
Integers
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Cobeli, Cristian, Vâjâitu, Marian, Zaharescu, Alexandru (2002)
Portugaliae Mathematica. Nova Série
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Kovachev, Dimiter (2008)
Serdica Journal of Computing
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In this paper we examine discrete functions that depend on their variables in a particular way, namely the H-functions. The results obtained in this work make the “construction” of these functions possible. H-functions are generalized, as well as their matrix representation by Latin hypercubes.
Chountasis, Spiros, Katsikis, Vasilios N., Pappas, Dimitrios (2010)
Mathematical Problems in Engineering
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Valery Yakhno, Handan Yaslan, Tatiana Yakhno (2012)
Open Mathematics
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A new method for computation of the fundamental solution of electrodynamics for general anisotropic nondispersive materials is suggested. It consists of several steps: equations for each column of the fundamental matrix are reduced to a symmetric hyperbolic system; using the Fourier transform with respect to space variables and matrix transformations, formulae for Fourier images of the fundamental matrix columns are obtained; finally, the fundamental solution is computed by the inverse...
Vesna Vučković (2008)
Review of the National Center for Digitization
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Elia, Michele, Taricco, Giorgio (2003)
Applied Mathematics E-Notes [electronic only]
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Hai Yang (2010)
Czechoslovak Mathematical Journal
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The main purpose of this paper is to use the M. Toyoizumi's important work, the properties of the Dedekind sums and the estimates for character sums to study a hybrid mean value of the Dedekind sums, and give a sharper asymptotic formula for it.
Fitouhi, Ahmed, Bettaibi, Néji, Bettaieb, Rym H., Binous, Wafa (2008)
International Journal of Mathematics and Mathematical Sciences
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Schmeelk, John (1990)
International Journal of Mathematics and Mathematical Sciences
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