A combinatorial proof of Andrews' smallest parts partition function.
Ji, Kathy Qing (2008)
The Electronic Journal of Combinatorics [electronic only]
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Ji, Kathy Qing (2008)
The Electronic Journal of Combinatorics [electronic only]
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Sellers, James A. (2003)
Integers
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Subbarao, M.V. (2004)
International Journal of Mathematics and Mathematical Sciences
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Sellers, James A. (2004)
Journal of Integer Sequences [electronic only]
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P Erdös, P. Turán (1971)
Acta Arithmetica
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Agarwal, A.K., Balasubrananian, R. (1997)
International Journal of Mathematics and Mathematical Sciences
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Padmavathamma, Sudha, T.G. (1993)
International Journal of Mathematics and Mathematical Sciences
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Kağan Kurşungöz (2010)
Acta Arithmetica
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Došlić, Tomislav (2005)
Journal of Integer Sequences [electronic only]
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Kohnert, Axel (2004)
The Electronic Journal of Combinatorics [electronic only]
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Sills, Andrew V. (2004)
International Journal of Mathematics and Mathematical Sciences
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L. Chawla, Ellen Torrance (1977)
Acta Arithmetica
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Mateus Alegri, Wagner Ferreira Santos, Samuel Brito Silva (2021)
Czechoslovak Mathematical Journal
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We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition identities.