Abstract: In this note, we demonstrate explicit LU
factorizations of Toeplitz matrices for some small sizes. Furthermore,
we obtain the inverse of referred Toeplitz matrices by appling the
above-mentioned results.
Abstract: We demonstrate a way to count the number of Young
tableau u of shape λ = (k, k,L, k) with | λ |= lk by expanding
Schur function. This result gives an answer to the question that was put
out by Jenny Buontempo and Brian Hopkins.