论文标题
在Drinfeld模块化形式上，高级V：基本领域上杰出形式的行为
On Drinfeld modular forms of higher rank V: The behavior of distinguished forms on the fundamental domain
论文作者
论文摘要
\ begin {document} \开始 本文以相同的标题延续了早期文章的工作。对于两类模块化表格$ f $： \ begin {inatizize} \ item para-eisenstein系列$α_{k} $和 \ item系数$ {} _ a \ ell_ {k} $，其中$ k \ in \ mathbb {n} $和$ a $是$ \ mathbb {f} _ {q} _ {q} [t] $的非代表元素 \ end {inatizize} 基本域和零基因座$ω（F）$的增长行为 以及他们的图像$ \ Mathcal {bt}（f）$中的bruhat-tits构建$ \ mathcal {bt} $的$。我们获得了$ f =α_{k} $的完整描述，以及形式的完整描述 $ {} _ {a} \ ell _ {k} $其中$ k \ leq°a $。事实证明，在这种情况下，$α_{k} $和$ {} _ {a} \ ell_ {k} $与$ \ nathcal {bt}（{} _ {a} _} $ \ mathcal {bt}（α_{k}）$是$ \ mathbb {q} $的集合 - $ \ mathcal {bt} $的完整子复合点的点，具有不错的属性。作为案例研究，我们详细介绍了形式的结果 $α_{2} $等级3。 \ maketitle \ end {document}
\begin{document} \begin This paper continues work of the earlier articles with the same title. For two classes of modular forms $f$: \begin{itemize} \item para-Eisenstein series $α_{k}$ and \item coefficient forms ${}_a \ell_{k}$, where $k \in \mathbb{N}$ and $a$ is a non-constant element of $\mathbb{F}_{q}[T]$, \end{itemize} the growth behavior on the fundamental domain and the zero loci $Ω(f)$ as well as their images $\mathcal{BT}(f)$ in the Bruhat-Tits building $\mathcal{BT}$ are studied. We obtain a complete description for $f = α_{k}$ and for those of the forms ${}_{a}\ell_{k}$ where $k \leq °a$. It turns out that in these cases, $α_{k}$ and ${}_{a}\ell_{k}$ are strongly related, e.g., $\mathcal{BT}({}_{a}\ell_{k}) = \mathcal{BT}(α_{k})$, and that $\mathcal{BT}(α_{k})$ is the set of $\mathbb{Q}$-points of a full subcomplex of $\mathcal{BT}$ with nice properties. As a case study, we present in detail the outcome for the forms $α_{2}$ in rank 3. \end{abstract} \maketitle \end{document}
