论文标题
关于Skolem问题和主要权力
On the Skolem Problem and Prime Powers
论文作者
论文摘要
Skolem问题问，给定一个线性复发序列$（u_n）$，是否存在$ n \ in \ mathbb {n} $中的$ n \，以便$ u_n = 0 $。在本文中，我们考虑了以下问题的专业化：此外，给出了$ c \ in \ mathbb {n} $，确定是否存在$ n = lp^k $的$ n \ in \ mathbb {n} $ in \ mathbb {n} $，带有$ k，l \ leq c $ and $ k，l \ leq c $ and $ p $ $ p $ $ u_n = 0 $。
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 $u_n=0$.
