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» Congruences concerning Bernoulli numbers and Bernoulli polyn...
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DCG
2006
68views more  DCG 2006»
14 years 11 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»
14 years 11 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»
14 years 11 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