The inverse problem for representation functions for general linear forms.
Hegarty, Peter (2008)
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Hegarty, Peter (2008)
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Melvyn B. Nathanson (2003)
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G. Grekos, L. Haddad, C. Helou, J. Pihko (2007)
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Nathanson, Melvyn B. (2005)
Portugaliae Mathematica. Nova Série
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Yang, Quan-Hui, Chen, Feng-Juan (2011)
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Clark Kimberling (1995)
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Janusz Kaja (1982)
Colloquium Mathematicae
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Ioannis Konstantoulas (2013)
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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.
Y.-F. S. Pétermann (2010)
Acta Arithmetica
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Georges Grekos (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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C. Sinan Güntürk, Melvyn B. Nathanson (2006)
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Komornik, Vilmos, Loreti, Paola (2010)
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Jaroslav Nešetřil, Oriol Serra (2004)
Acta Arithmetica
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