4 problems

Let $v_m(A,-1)$ denote the second-order recurrent sequence used in the paper, and let $\delta_{j,k}$ denote the Kronecker delta. Let $n$ be a positive odd integer and let…

The determinant conjecture. For every positive integer $n$, the displayed identity holds. This is one of the paper's experimentally proposed determinant evaluations; its general va…

Let $p$ be an odd prime. Define rational functions in $cmathbb{F}_p(x)$ by … and … for $0cleq icleq 2$ and $ncgeq 1$, where … Let $\mathcal{P}(p)$ be the set of monic irreducible p…

Let $cmathbb{F}_q$ be the base field, with prime field $cmathbb{F}_p$. The recursive construction has a second case, denoted $(III_2)$, involving the sequence…