13 citations · 44 across the 6 of their papers we have counts for
6 papers
Massively Parallel Modular Methods in Commutative Algebra and Algebraic Geometry
Dirk Basson, Janko Boehm, Magdaleen S. Marais +2
Computations over the rational numbers often encounter the problem of intermediate coefficient growth. A solution to this is provided by modular methods, which apply the algorithm…
Hecke operators for higher rank Drinfeld modular forms
Dirk Basson
We calculate the effect of simple Hecke operators on u-expansions of higher rank Drinfeld modular forms, the eigenvalue for the Drinfeld discriminant function and show that a…
Drinfeld modular forms of arbitrary rank, Part III: Examples
Dirk Basson, Florian Breuer, Richard Pink
This is the third part of a series of articles providing a foundation for the theory of Drinfeld modular forms of arbitrary rank. In the present article we construct and study some…
Drinfeld modular forms of arbitrary rank, Part II: Comparison with Algebraic Theory
Dirk Basson, Florian Breuer, Richard Pink
This is the second of a series of articles providing a foundation for the theory of Drinfeld modular forms of arbitrary rank. In the present part, we compare the analytic theory wi…
Drinfeld modular forms of arbitrary rank, Part I: Analytic Theory
Dirk Basson, Florian Breuer, Richard Pink
This is the first of a series of articles providing a foundation for the theory of Drinfeld modular forms of arbitrary rank r. In the present part, we develop the analytic theory.…
A product formula for the higher rank Drinfeld discriminant function
Dirk Basson
We give a product expansion for the Drinfeld discriminant function in arbitrary rank , which generalizes the formula obtained by Gekeler for the rank 2 Drinfeld discriminant fun…