A note on a conjecture of Erdős-Turán.
Sándor, Csaba (2008)
Integers
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Sándor, Csaba (2008)
Integers
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Melvyn B. Nathanson (2003)
Acta Arithmetica
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G. Horváth (2007)
Acta Arithmetica
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Paul Balister, Jeffrey Paul Wheeler (2009)
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C. Sinan Güntürk, Melvyn B. Nathanson (2006)
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.
Paul Erdös, Melvyn Nathanson (1989)
Acta Arithmetica
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Akio Fujii (1985)
Banach Center Publications
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Katalin Kovács (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Jaroslav Nešetřil, Oriol Serra (2004)
Acta Arithmetica
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I. Kátai (1977)
Colloquium Mathematicae
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Roger Crocker (1969)
Colloquium Mathematicae
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