After a brief introduction on the determinants and permanents, I focus on the Scott-type permanents, which are evaluated explicitly by using symmetric function technique. Finally, I will mention some applications of our formulas in the recent developments of Combinatorics and Quantum Physics.

Add:Building 58, The School of Mathematics, Tianjin University Beiyangyuan Campus,

No. 135, Ya Guan Road, Jinnan District, Tianjin, PRC

Tel:022-60787827 Mail:math@tju.edu.cn