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arXiv · 2006.07432

On the Skolem Problem and Prime Powers

George Kenison·Richard Lipton·Joël Ouaknine·James Worrell
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Abstract

The Skolem Problem asks, given a linear recurrence sequence $(u_n)$, whether there exists $n\in\mathbb{N}$ such that $u_n=0$. In this paper we consider the following specialisation of the problem: given in addition $c\in\mathbb{N}$, determine whether there exists $n\in\mathbb{N}$ of the form $n=lp^k$, with $k,l\leq c$ and $p$ any prime number, such that $u_n=0$.

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George Kenison, Richard Lipton, Joël Ouaknine, James Worrell. 2020-06-12. On the Skolem Problem and Prime Powers. https://doi.org/10.1145/3373207.3404036

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