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20162024
most citedDrinfeld modular forms of arbitrary rank, Part I: Analytic Theory

13 citations · 44 across the 6 of their papers we have counts for

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math.NT2023

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…

math.NT2018★ 10 cited

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…

math.NT2018★ 11 cited

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…

math.NT2018★ 13 cited

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.…

math.NT2016★ 10 cited

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…