A new upper bound for finite additive bases
C. Sinan Güntürk, Melvyn B. Nathanson (2006)
Acta Arithmetica
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Displaying similar documents to “Unique representation bases for the integers”
A new upper bound for finite additive bases
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Note on a result of Haddad and Helou.
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Infinitely often dense bases for the integers with a prescribed representation function.
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Additive bases with many representations
Paul Erdös, Melvyn Nathanson (1989)
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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.
A note on a conjecture of Erdős-Turán.
Sándor, Csaba (2008)
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Aleksandar Krapež, M.A. Taylor (1985)
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Georges Grekos (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Small digitwise perturbations of a number make it normal to unrelated bases.
Pushkin, L. (2002)
Lobachevskii Journal of Mathematics
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The Erdős-Heilbronn problem for finite groups
Paul Balister, Jeffrey Paul Wheeler (2009)
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Optimum transportation bases
W. Grabowski, W. Szwarc (1966)
Applicationes Mathematicae
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M-bases in spaces of continuous functions on ordinals
Ondrej F. K. Kalenda (2002)
Colloquium Mathematicae
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We prove, among other things, that the space C[0,ω₂] has no countably norming Markushevich basis. This answers a question asked by G. Alexandrov and A. Plichko.