Note on the Erdős-Graham theorem
Y.-F. S. Pétermann (2010)
Acta Arithmetica
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Y.-F. S. Pétermann (2010)
Acta Arithmetica
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Izotova, O.V., Nazarov, S.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Xing-De Jia, Melvyn Nathanson (1989)
Acta Arithmetica
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Lee, Jaewoo (2010)
Integers
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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.
CSTUG editorial board (2009)
Zpravodaj Československého sdružení uživatelů TeXu
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CSTUG editorial board (2009)
Zpravodaj Československého sdružení uživatelů TeXu
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Pushkin, L. (2002)
Lobachevskii Journal of Mathematics
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Yang, Quan-Hui, Chen, Feng-Juan (2011)
Integers
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Aleksandar Krapež, M.A. Taylor (1985)
Publications de l'Institut Mathématique
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W. Grabowski, W. Szwarc (1966)
Applicationes Mathematicae
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Paul Erdös, Melvyn Nathanson (1989)
Acta Arithmetica
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James R. Holub (1998)
Annales Polonici Mathematici
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E. Tutaj has introduced classes of Schauder bases termed "unconditional-like" (UL) and "unconditional-like*" (UL*) whose intersection is the class of unconditional bases. In view of this association with unconditional bases, it is interesting to note that there exist Banach spaces which have no unconditional basis and yet have a basis of one of these two types (e.g., the space 𝓞[0,1]). In the same spirit, we show in this paper that the space of all compact operators on a reflexive Banach...
L.A. Aghalovyan, M.L. Aghalovyan (2016)
Curved and Layered Structures
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Bases of asymptotic theory of beams, plates and shells are stated. The comparison with classic theory is conducted. New classes of thin bodies problems, for which hypotheses of classic theory are not applicable, are considered. By the asymptotic method effective solutions of these problems are obtained. The effectiveness of the asymptotic method for finding solutions of as static, as well as dynamic problems of beams, plates and shells is shown.