3 problems

Let $bbell$ be a prime number and let $s=\nu_2(\ell-1)$, where $\nu_2(k)$ denotes the $2$-adic valuation of an integer $k\ge 1$. Let $bbK$ be a field of characteristic $bbell$, let…

Let $\bm{bbeta}=(\beta_n)_{n\ge 0}$ be the Laurent series over a field of characteristic $bbell$ whose coefficients are the paperfolding sequence over the alphabet $b{0,1}$. Paperf…

Let $F$ denote the regular paperfolding sequence and let $H_n(F)$ be its Hankel determinant. Consider the sequence $\{H_n(F)\}_{n\geq 0}$ modulo $2$. Coons's conjecture. The sequen…