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On certain arithmetic properties of Stern polynomials
Published 24 Feb 2011 in math.CO and math.NT | (1102.5109v1)
Abstract: We prove several theorems concerning arithmetic properties of Stern polynomials defined in the following way: $B_{0}(t)=0, B_{1}(t)=1, B_{2n}(t)=tB_{n}(t)$, and $B_{2n+1}(t)=B_{n}(t)+B_{n+1}(t)$. We study also the sequence $e(n)=\op{deg}{t}B{n}(t)$ and give various of its properties.
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