Observations on the parity of the total number of parts in odd--part partitions.
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Sellers, James A. (2007)
Integers
Robert A. Proctor (1988)
Inventiones mathematicae
Robert Karpe (1973)
Archivum Mathematicum
Padmavathamma, Sudha, T.G. (1993)
International Journal of Mathematics and Mathematical Sciences
Yong-Gao Chen (2015)
Acta Arithmetica
Two infinite sequences A and B of non-negative integers are called infinite additive complements if their sum contains all sufficiently large integers. In 1994, Sárközy and Szemerédi conjectured that there exist infinite additive complements A and B with lim sup A(x)B(x)/x ≤ 1 and A(x)B(x)-x = O(minA(x),B(x)), where A(x) and B(x) are the counting functions of A and B, respectively. We prove that, for infinite additive complements A and B, if lim sup A(x)B(x)/x ≤ 1, then, for any given M > 1,...
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The Electronic Journal of Combinatorics [electronic only]
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The Electronic Journal of Combinatorics [electronic only]
Rødseth, Øystein, Sellers, James A. (2005)
Journal of Integer Sequences [electronic only]
Jaroslav Morávek (1983)
Časopis pro pěstování matematiky
Andrica, Dorin, Tomescu, Ioan (2002)
Journal of Integer Sequences [electronic only]
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International Journal of Mathematics and Mathematical Sciences
Dodig, Marija, Stošić, Marko (2010)
The Electronic Journal of Combinatorics [electronic only]
Schocker, Manfred (2001)
Publications de l'Institut Mathématique. Nouvelle Série
Maróti, Attila (2003)
Integers
Ove Frank, Krzysztof Nowicki (1989)
Banach Center Publications
E. Neuman (1985)
Applicationes Mathematicae
Pirillo, Giuseppe (1986)
Séminaire Lotharingien de Combinatoire [electronic only]
Andres, Stephan Dominique (2011)
Journal of Integer Sequences [electronic only]
Robbins, Neville (2000)
Integers
Eduard Fuchs (1979)
Archivum Mathematicum
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