Title
A new proof of a theorem of Littlewood
Abstract
In this paper we give a new combinatorial proof of a result of Littlewood [D.E. Littlewood, The Theory of Group Characters, 2nd ed., Oxford University Press, 1950], p. 124: S"@m(1,q,q^2,...)=q^n^(^@m^)@?"s"@?"@m(1-q^h^"^@m^(^s^)), where S"@m denotes the Schur function of the partition @m, n(@m) is the sum of the legs of the cells of @m and h"@m(s) is the hook number of the cell s@?@m.
Year
DOI
Venue
2009
10.1016/j.ejc.2008.05.003
Eur. J. Comb.
Keywords
Field
DocType
new combinatorial proof,hook number,schur function,m denotes,new proof,e. littlewood,oxford university press,group characters
Discrete mathematics,Combinatorics,Combinatorial proof,Partition (number theory),Mathematics
Journal
Volume
Issue
ISSN
30
2
0195-6698
Citations 
PageRank 
References 
1
0.37
1
Authors
2
Name
Order
Citations
PageRank
Jason Bandlow1254.10
Michele D'Adderio220.75