论文标题
关于功能字段中线性复发的生长
On the growth of linear recurrences in function fields
论文作者
论文摘要
令$（g_n）_ {n = 0}^{\ infty} $为具有功率总和表示$ g_n = a_1（n）α_1^n + \ cdots + cdots + a_t（n）α_t^n $的非分级线性复发序列。在本文中，我们将证明众所周知的结果的功能字段类似物在数字字段中，在某些非限制条件下，对于$ n $，对于不平等的$ \ vert g_n \ vert g_n \ vert \ geq \ weft（\ max_ = 1，j = 1，\ ldots，\ ldots，\ ldots，t} 真的。
Let $ (G_n)_{n=0}^{\infty} $ be a non-degenerate linear recurrence sequence with power sum representation $ G_n = a_1(n) α_1^n + \cdots + a_t(n) α_t^n $. In this paper we will prove a function field analogue of the well known result that in the number field case, under some non-restrictive conditions, for $ n $ large enough the inequality $ \vert G_n\vert \geq \left( \max_{j=1,\ldots,t} \vert α_j\vert \right)^{n(1-\varepsilon)} $ holds true.
