Note on a result of Haddad and Helou.
Tang, Chi-Wu, Tang, Min (2010)
Integers
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Tang, Chi-Wu, Tang, Min (2010)
Integers
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Melvyn B. Nathanson (2003)
Acta Arithmetica
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Ioannis Konstantoulas (2013)
Acta Arithmetica
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We study representation functions of asymptotic additive bases and more general subsets of ℕ (sets with few nonrepresentable numbers). We prove that if ℕ∖(A+A) has sufficiently small upper density (as in the case of asymptotic bases) then there are infinitely many numbers with more than five representations in A+A, counting order.
P. G. Todorov (1991)
Publications de l'Institut Mathématique
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P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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G. Grekos, L. Haddad, C. Helou, J. Pihko (2005)
Acta Arithmetica
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W. Narkiewicz (1977)
Colloquium Mathematicae
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Pandey, Ram Krishna (2009)
Journal of Integer Sequences [electronic only]
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Paule, Peter (1996)
Experimental Mathematics
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R. Dacić (1971)
Matematički Vesnik
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András Biró (2003)
Acta Arithmetica
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G. Besson (2009)
Bollettino dell'Unione Matematica Italiana
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Torossian, Charles (2002)
Journal of Lie Theory
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K. Kubota (1977)
Acta Arithmetica
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Fuzhen Zhang (2016)
Special Matrices
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We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We...
C. Greither, Radan Kučera (2008)
Acta Arithmetica
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