5 citations · 5 across the 8 of their papers we have counts for
11 papers
Distributive properties of division points and discriminants of Drinfeld modules
Ernst-Ulrich Gekeler
We present a new notion of distribution and derived distribution of rank for a global function field with a distinguished place . It allows to descri…
On Drinfeld modular forms of higher rank VII: Expansions at the boundary
Ernst-Ulrich Gekeler
We study expansions of Drinfeld modular forms of rank \(r \geq 2\) along the boundary of moduli varieties. Product formulas for the discriminant forms \(Δ_{\mathfrak{n}}\) are deve…
On Drinfeld modular forms of higher rank VI: The simplicial complex associated with a coefficient form
Ernst-Ulrich Gekeler
The coefficient forms \( {}_{a} \ell_{k} \) and the para-Eisenstein series \(α_{k}\) are simplicial Drinfeld modular forms. We study the attached simplicial complexes \(\mathcal{BT…
Goss polynomials, q-adic expansions, and Sheats compositions
Ernst-Ulrich Gekeler
The zeroes of Goss polynomials for $Λ= A \defeq \mathbb{F}_{q}[T]$ and similar lattices are studied. Generically, the zero distribution follows a simple pattern g…
On Drinfeld modular forms of higher rank V: The behavior of distinguished forms on the fundamental domain
Ernst-Ulrich Gekeler
\begin{document} \begin This paper continues work of the earlier articles with the same title. For two classes of modular forms : \begin{itemize} \item para-Eisenstein series $α…
On the field generated by the periods of a Drinfeld module
Ernst-Ulrich Gekeler
Generalizing the results of Maurischat in \cite{Maurischatxx}, we show that the field of periods of a Drinfeld module of rank defined over $K_{\infty} = \ma…