Applications de la dérivation d'Arbogast à la solution de la partition des nombres et à d'autres problèmes
David (1882)
Journal de Mathématiques Pures et Appliquées
Courtright, Kevin M., Sellers, James A. (2004)
Integers
William Y. C. Chen, Bernard L. S. Lin (2012)
Acta Arithmetica
D. Acreman, J.H. Loxton (1986)
Aequationes mathematicae
D. Acreman, J.H. Loxton (1985)
Aequationes mathematicae
Jehanne Dousse, Michael H. Mertens (2015)
Acta Arithmetica
Using an extension of Wright's version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F. Dyson and recently proved by the first author and K. Bringmann.
Chen, William Y.C., Ji, Kathy Q., Wilf, Herbert S. (2006)
The Electronic Journal of Combinatorics [electronic only]
Sellers, James A., Sills, Andrew V., Mullen, Gary L. (2004)
The Electronic Journal of Combinatorics [electronic only]
Erdmann, Karin, Michler, Gerhard O. (1996)
Beiträge zur Algebra und Geometrie
Woodford, Roger (2007)
Journal of Integer Sequences [electronic only]
Azad Bolour (1975)
Acta Arithmetica
Alain Billionnet (1978)
RAIRO - Operations Research - Recherche Opérationnelle
Stefano Capparelli (2003)
Bollettino dell'Unione Matematica Italiana
Forniamo un calcolo esplicito della funzione di partizione di Kostant per algebre di Lie complesse di rango . La tecnica principale consiste nella riduzione a casi più semplici ed all'uso di funzioni generatrici.
Prömel, H. J., Voigt, B. (1981)
Abstracta. 9th Winter School on Abstract Analysis
Nešetřil, J., Prömel, H. J., Rödl, V., Voigt, B. (1982)
Proceedings of the 10th Winter School on Abstract Analysis
Prömel, H. J., Voigt, B. (1982)
Proceedings of the 10th Winter School on Abstract Analysis
King, R.C., Welsh, T.A. (2007)
The Electronic Journal of Combinatorics [electronic only]
Lang, Wolfdieter (2009)
Journal of Integer Sequences [electronic only]
Mateus Alegri, Wagner Ferreira Santos, Samuel Brito Silva (2021)
Czechoslovak Mathematical Journal
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.
Sagan, Bruce E., Savage, Carla D. (2010)
Integers