-enumeration of self-complementary plane partitions.
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Eisenkölbl, Theresia (2005)
The Electronic Journal of Combinatorics [electronic only]
Padmavathamma, Ruby Salestina, M. (2004)
International Journal of Mathematics and Mathematical Sciences
Krattenthaler, C. (1996)
The Electronic Journal of Combinatorics [electronic only]
H. M. Srivastava (1986)
Rendiconti del Seminario Matematico della Università di Padova
H. M. Srivastava (1986)
Rendiconti del Seminario Matematico della Università di Padova
Campbell, Geoffrey B. (1998)
International Journal of Mathematics and Mathematical Sciences
Dennis Eichhorn (1998)
Acta Arithmetica
Many links exist between ordinary partitions and partitions with parts in the “gaps”. In this paper, we explore combinatorial explanations for some of these links, along with some natural generalizations. In particular, if we let be the number of partitions of n into j parts where each part is ≡ k (mod m), 1 ≤ k ≤ m, and we let be the number of partitions of n into j parts where each part is ≡ k (mod m) with parts of size k in the gaps, then .
Ji, Kathy Qing (2008)
The Electronic Journal of Combinatorics [electronic only]
Garrett, Kristina C., Hummel, Kristen (2004)
The Electronic Journal of Combinatorics [electronic only]
Kolitsch, Louis W. (2007)
Integers
Bender, Edward A., Canfield, E.Rodney, Richmond, L.Bruce, Wilf, Herbert S. (2003)
The Electronic Journal of Combinatorics [electronic only]
L. Chawla, Robert Girse (1980)
Acta Arithmetica
Corteel, Sylvie, Savage, Carla D., Wilf, Herbert S. (2005)
Integers
L. Carlitz (1980)
Acta Arithmetica
Eriksson, Kimmo (2010)
Integers
Hsu, L.C. (1991)
Portugaliae mathematica
J. Byrnes (1975)
Acta Arithmetica
Dean Hickerson (1988)
Inventiones mathematicae
Michael D. Hirschhorn, David C. Hunt (1981)
Journal für die reine und angewandte Mathematik
I. G. MacDonald (1980/1981)
Séminaire Bourbaki
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