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arXiv · 1102.5109

On certain arithmetic properties of Stern polynomials

Maciej Ulas·Oliwia Ulas
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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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Maciej Ulas, Oliwia Ulas. 2011-02-24. On certain arithmetic properties of Stern polynomials. https://arxiv.org/abs/1102.5109

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