On certain arithmetic properties of Stern polynomials
Abstract
We prove several theorems concerning arithmetic properties of Stern polynomials defined in the following way: B0(t)=0, B1(t)=1, B2n(t)=tBn(t), and B2n+1(t)=Bn(t)+Bn+1(t). We study also the sequence e(n)=degtBn(t) and give various of its properties.
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