论文信息 - Determinants in Plane Partition Enumeration - 字舞流文

Determinants in Plane Partition Enumeration

In this paper we provide a new and concise evaluation of det(????????????)0?i,j?n?1. This determinant arose in the enumeration of certain set of plane partitions. Its previous evaluation was lengthy and complicated.

George E. Andrews | Dennis Stanton | G. Andrews | D. Stanton

[1] Ira M. Gessel,et al. Strange Evaluations of Hypergeometric Series , 1982 .

[2] Art M. Duval. Algebraic Shifting and Sequentially Cohen-Macaulay Simplicial Complexes , 1996, Electron. J. Comb..

[3] George E. Andrews,et al. Pfaff's method (I): The Mills-Robbins-Rumsey determinant , 1998, Discret. Math..

[5] W. N. Bailey. Products of Generalized Hypergeometric Series , 1928 .

[6] W. N. Bailey,et al. Generalized hypergeometric series , 1935 .

[7] Christian Krattenthaler,et al. An Alternative Evaluation of the Andrews-Burge Determinant , 1998 .

[8] Axel Riese,et al. A Generalization of Gosper's Algorithm to Bibasic Hypergeometric Summation , 1996, Electron. J. Comb..

[9] Ira M. Gessel,et al. Applications of q-lagrange inversion to basic hypergeometric series , 1983 .

[10] George E. Andrews,et al. Plane partitions (III): The weak Macdonald conjecture , 1979 .

[11] David P. Robbins,et al. Enumeration of a symmetry class of plane partitions , 1987, Discret. Math..