On partitions with difference conditions.
Santos, José Plínio O., Mondek, Paulo (2000)
International Journal of Mathematics and Mathematical Sciences
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Santos, José Plínio O., Mondek, Paulo (2000)
International Journal of Mathematics and Mathematical Sciences
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Tani, Nesrine Benyahia, Bouroubi, Sadek (2011)
Journal of Integer Sequences [electronic only]
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Chen, William Y.C., Ji, Kathy Q., Zhu, Albert J.W. (2010)
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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Sellers, James A. (2003)
Integers
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Rødseth, Øystein, Sellers, James A. (2005)
Journal of Integer Sequences [electronic only]
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Sellers, James A., Sills, Andrew V., Mullen, Gary L. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Sellers, James A. (2004)
Journal of Integer Sequences [electronic only]
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George E. Andrews, Frank G. Garvan, Jie Liang (2013)
Acta Arithmetica
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Let spt(n) denote the total number of appearances of the smallest parts in all the partitions of n. Recently, we found new combinatorial interpretations of congruences for the spt-function modulo 5 and 7. These interpretations were in terms of a restricted set of weighted vector partitions which we call S-partitions. We prove that the number of self-conjugate S-partitions, counted with a certain weight, is related to the coefficients of a certain mock theta function studied by the first...
Hirschhorn, Michael D., Rødseth, Øystein J., Sellers, James A. (2009)
Integers
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Eichhorn, Dennis, McLaughlin, James, Sills, Andrew V. (2011)
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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Courtright, Kevin M., Sellers, James A. (2004)
Integers
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