3 papers
math.NT2019
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…
math.NT2017
On Drinfeld modular forms of higher rank III: The analogue of the k/12-formula
Ernst-Ulrich Gekeler
Continuing the work of \cite{7} and \cite{8}, we derive an analogue of the classical "-formula" for Drinfeld modular forms of rank . Here the vanishing order $ν_ω(f…
math.NT2017
On Drinfeld modular forms of higher rank II
Ernst-Ulrich Gekeler
We show that the absolute value of an invertible holomorphic function on the Drinfeld symmetric space $\OM^r$ is constant on fibers of the building map to th…