3 problems

Let $p_1,p_2,p_3,p_4$ be the four polynomials constructed in the paper, evaluated at $x,y,z\in\mathbb{N}^*$. The relevant generated parameter is a natural number $q\geq1$. Four-pol…

Let $T_n$ denote the degree-$n$ Chebyshev polynomial of the first kind. Let $i,j$ be relatively prime positive integers, and let $k,\ell$ belong to the semigroup denoted by…

Let $T_n$ denote the degree-$n$ Chebyshev polynomial of the first kind, and let $(i,j,k)$ be a reduced triple as in the source. Primality conjecture. Every knot of the form … for t…