On certain arithmetic properties of Stern polynomials

Maciej Ulas, Oliwia Ulas

We prove several theorems concerning arithmetic properties of Stern polynomials defined in the following way: $B_0(t)=0,B_1(t)=1,B_{2n}(t)=t{B}_n(t)$, and $B_{2n+1}(t)=B_{n}(…