On the k-free divisor problem (II)
Jun Furuya, Wenguang Zhai (2008)
Acta Arithmetica
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Displaying similar documents to “On the k-free divisor problem”
On the k-free divisor problem (II)
The number of k-free divisors of an integer
D. Suryanarayana, V. Siva Rama Prasad (1971)
Acta Arithmetica
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Deformations of free and linear free divisors
Michele Torielli (2013)
Annales de l’institut Fourier
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We study deformations of free and linear free divisors. We introduce a complex similar to the de Rham complex whose cohomology calculates the deformation spaces. This cohomology turns out to be zero for all reductive linear free divisors and to be constructible for Koszul free divisors and weighted homogeneous free divisors.
Restricted divisor sums
Kevin A. Broughan (2002)
Acta Arithmetica
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On the divisor problem: Moments of Δ(x) over short intervals
Werner Georg Nowak (2003)
Acta Arithmetica
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Cesàro means related to the square of the divisor function
Gintautas Bareikis, Algirdas Mačiulis (2012)
Acta Arithmetica
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Ample hierarchy
Andreas Baudisch, Amador Martin-Pizarro, Martin Ziegler (2014)
Fundamenta Mathematicae
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The ample hierarchy of geometries of stables theories is strict. We generalise the construction of the free pseudospace to higher dimensions and show that the n-dimensional free pseudospace is ω-stable n-ample yet not (n+1)-ample. In particular, the free pseudospace is not 3-ample. A thorough study of forking is conducted and an explicit description of canonical bases is given.
On the tails of the limiting distribution function of the error term in the Dirichlet divisor problem
Yuk-Kam Lau (2001)
Acta Arithmetica
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On fluctuations in the mean of a sum-of-divisors function
Y.-F. S. Pétermann (2004)
Acta Arithmetica
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Free pencils on divisors.
Roberto Paoletti (1995)
Mathematische Annalen
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Zero divisors and , II.
Linnell, Peter A., Puls, Michael J. (2001)
The New York Journal of Mathematics [electronic only]
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The nucleus of the free alternative algebra.
Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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The range of the sum-of-proper-divisors function
Florian Luca, Carl Pomerance (2015)
Acta Arithmetica
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Answering a question of Erdős, we show that a positive proportion of even numbers are in the form s(n), where s(n) = σ(n) - n, the sum of proper divisors of n.
Square-free and overlap-free words
A. J. Kfoury (1988)
Banach Center Publications
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Generalized sum-free subsets.
Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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Testing the logarithmic comparison theorem for free divisors.
Castro-Jiménez, F.J., Ucha-Enríquez, J.M. (2004)
Experimental Mathematics
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Fixed-point free maps of Euclidean spaces
R. Z. Buzyakova, A. Chigogidze (2011)
Fundamenta Mathematicae
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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