Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593692 | Journal of Number Theory | 2015 | 13 Pages |
Abstract
We show that the Drinfeld modular forms with A-expansions that have been constructed by the author are precisely the hyperderivatives of the subfamily of single-cuspidal Drinfeld modular forms with A-expansions that remain modular after hyperdifferentiation. In addition, we show that certain Drinfeld-Poincaré series display a similar behavior with respect to hyperdifferentiation, giving indirect evidence that the Drinfeld modular forms with A-expansions are Drinfeld-Poincaré series. The Drinfeld-Poincaré series that we consider generalize previous examples of such series by Gekeler, and Gerritzen and van der Put.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Aleksandar Petrov,