论文信息 - Partition analysis and symmetrizing operators

Partition analysis and symmetrizing operators

Using a symmetrizing operator, we give a new expression for the Omega operator used by MacMahon in Partition Analysis, and given a new life by Andrews, Paule and Riese. Our result is stated in terms of Schur functions.

Alain Lascoux | Amy M. Fu

[1] A General Algorithm for the MacMahon Omega Operator , 2003 .

[2] G. Andrews,et al. MacMahon's Partition Analysis VI: A New Reduction Algorithm , 2001 .

[3] G. Andrews,et al. Macmahon's partition analysis IX: K -gon partitions , 2001 .

[4] George E. Andrews,et al. MacMahon's Partition Analysis: II Fundamental Theorems , 2000 .

[5] I. G. MacDonald,et al. Symmetric functions and Hall polynomials , 1979 .

[6] A. Lascoux. Symmetric Functions and Combinatorial Operators on Polynomials , 2003 .

[7] George E. Andrews,et al. MacMahon's Partition Analysis: The Omega Package , 2001, Eur. J. Comb..