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» Congruences concerning Bernoulli numbers and Bernoulli polyn...
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DCG
2006
68views more  DCG 2006»
13 years 5 months ago
The Stirling Polynomial of a Simplicial Complex
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
Gábor Hetyei
JCT
2007
112views more  JCT 2007»
13 years 5 months ago
Bruhat intervals as rooks on skew Ferrers boards
We characterise the permutations π such that the elements in the closed lower Bruhat interval [id,π] of the symmetric group correspond to non-taking rook configurations on a sk...
Jonas Sjöstrand
DM
2008
90views more  DM 2008»
13 years 5 months ago
On sums of binomial coefficients and their applications
In this paper we study recurrences concerning the combinatorial sum n r m = kr (mod m) n k and the alternate sum kr (mod m)(-1)(k-r)/m n k , where m > 0, n 0 and r are integers....
Zhi-Wei Sun