Journal of the Korean Mathematical Society (대한수학회지)
- Volume 32 Issue 4
- /
- Pages.713-724
- /
- 1995
- /
- 0304-9914(pISSN)
- /
- 2234-3008(eISSN)
Generating function of cells of generalized young tableaux
- Park, Seul-Hee (Department of Mathematics Jeonju University ) ;
- Lee, Jae-Jin (Department of Mathematics Hallym University )
- Published : 1995.11.01
Abstract
In 1954 Frame, Robinson and Thrall [5] gave the hook formula for the number of standard Young tableaux of a given shape. Since then many proofs for the hook formula have been given using various methods. See [9] forprobabilistic method and see [6] or [12] for combinatorial ones. Regev [10] has given asymptotic values for these numbers and Gouyou-Beauchamps [8] gave exact formulas for the number of standard Young tableaux having n cells and at most k rows in the cases k = 4 and k = 5.