Bijective proofs of parity theorems for partition statistics
Journal of integer sequences, Tome 8 (2005) no. 1
We give bijective proofs of parity theorems for four related statistics on partitions of finite sets. A consequence of our results is a combinatorial proof of a congruence between Stirling numbers and binomial coefficients.
Classification :
11B73, 11B39
Keywords: partition statistics, q-Stirling numbers, q-Bell numbers, Fibonacci numbers
Keywords: partition statistics, q-Stirling numbers, q-Bell numbers, Fibonacci numbers
@article{JIS_2005__8_1_a1,
author = {Shattuck, Mark},
title = {Bijective proofs of parity theorems for partition statistics},
journal = {Journal of integer sequences},
year = {2005},
volume = {8},
number = {1},
zbl = {1064.05022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2005__8_1_a1/}
}
Shattuck, Mark. Bijective proofs of parity theorems for partition statistics. Journal of integer sequences, Tome 8 (2005) no. 1. http://geodesic.mathdoc.fr/item/JIS_2005__8_1_a1/