Rotation-free solutions with positive infimum of the equation ...u = Pu in a neighbourhood of a singularity of the density P.
J.L. Schiff (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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J.L. Schiff (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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A. J. Kfoury (1988)
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Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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R. Z. Buzyakova, A. Chigogidze (2011)
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Our main result states that every fixed-point free continuous self-map of ℝⁿ is colorable. This result can be reformulated as follows: A continuous map f: ℝⁿ → ℝⁿ is fixed-point free iff f̃: βℝⁿ → βℝⁿ is fixed-point free. We also obtain a generalization of this fact and present some examples
Oto Strauch, Janos T. Toth (2002)
Acta Arithmetica
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Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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Jean Berstel (1985)
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Karl Dilcher, Lutz G. Lucht (2006)
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Tomasz Schoen (2001)
Acta Arithmetica
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Julia Brandes (2015)
Acta Arithmetica
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We employ a generalised version of Heath-Brown's square sieve in order to establish an asymptotic estimate of the number of solutions a, b ∈ ℕ to the equations a + b = n and a - b = n, where a is k-free and b is l-free. This is the first time that this problem has been studied with distinct powers k and l.
W. Klotz (1977)
Acta Arithmetica
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Walter Thirring (1972)
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Simen Gaure (1995)
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F. Levin, G. Rosenberger, B. Baumslag (1993)
Mathematische Zeitschrift
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