5 problems

Characteristic polynomial of a shifted Pascal matrix
arXiv@arxiv
Shifted Pascal-matrix conjecture. Its characteristic polynomial satisfies
Conjectureopenbinomial-coefficients finite-fields pascal-matrices
0
Characteristic-polynomial congruences at prime powers congruent to 2 modulo 3
arXiv@arxiv
Prime-power congruence conjecture. One has
Conjectureopencharacteristic-polynomials finite-fields pascal-matrices
1
Modular-3 congruence for the conjectural Pascal polynomial factors
arXiv@arxiv
Modular-3 conjecture. For every $k$ ,
Conjectureopenfinite-fields modular-arithmetic pascal-matrices
0
Pascal-matrix formula conjecture for loop-surrounding probabilities
arXiv@arxiv
Pascal-matrix formula conjecture. The quantity $Q(L,m)$ is an integer given by
Conjectureopenloop-models pascal-matrices probability
0
Conjecture on an optimal nonuniform partition for Pascal matrix recursion
arXiv@arxiv
Let $n \gg k > 2$ , and let $\lambda_1,\ldots,\lambda_k \in \mathbb{Q}$ satisfy $\lambda_i>0$ for each $i$ and … Set $n_i=\lambda_i n$ for each $i$ , so that the $\lambda_i$ determin…
Conjectureopenalgorithms numerical-analysis pascal-matrices
0