Notes on plane partitions. I
Basil Gordon,Lorne Houten +1 more
Reads0
Chats0
TLDR
In this article, an expression for the generating function B k (x ) = ∑ n = 0 ∞ b k ( n ) x n where bk(n) is the number of k-rowed partitions of n whose nonzero parts decrease strictly along each row.About:
This article is published in Journal of Combinatorial Theory, Series A.The article was published on 1968-01-01 and is currently open access. It has received 67 citations till now.read more
Citations
More filters
Book ChapterDOI
Advanced determinant calculus
TL;DR: In this article, the reader is provided with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for the case such a determinant should appear in her/his research.
Journal ArticleDOI
Symmetric functions and P-Recursiveness
TL;DR: On montre comment des formules utiles peuvent etre obtenues a partir de fonctions symetriques pour beaucoup de problemes de denombrement, comme celui de compter des matrices d'entiers positifs avec des sommes de lignes and de colonnes donnees.
Posted Content
Advanced Determinant Calculus
TL;DR: In this paper, the reader is provided with a few useful and efficient tools which should enable her/him to evaluate nontrivial determinants for the case such a determinant should appear in her/his research.
Book
Asymptotic enumeration methods
TL;DR: In this article, the saddle point and large singularities of analytic functions are used for graphical enumeration, including implicit functions, recurrences, and combinations of methods, which are related to our work.
Journal ArticleDOI
Nonintersecting paths, pfaffians, and plane partitions
TL;DR: Gessel and Viennot as discussed by the authors showed that one may use pfaffiants to enumerate configurations of nonintersecting paths in which the initial and/or terminal vertices of the paths are allowed to vary over specified regions of the digraph.
References
More filters