3 papers
math.NT2021
A Hecke-equivariant decomposition of spaces of Drinfeld cusp forms via representation theory, and an investigation of its subfactors
Gebhard Boeckle, Peter Mathias Graef, Rudolph Perkins
There are various reasons why a naive analog of the Maeda conjecture has to fail for Drinfeld cusp forms. Focussing on double cusp forms and using the link found by Teitelbaum betw…
math.NT2017
Twisting eigensystems of Drinfeld Hecke eigenforms by characters
Rudolph Perkins
We address some questions posed by Goss related to the modularity of Drinfeld modules of rank 1 defined over the field of rational functions in one variable with coefficients in a…
math.NT2016
An Integral Digit Derivative Basis for Carlitz Prime Power Torsion Extensions
Andreas Maurischat, Rudolph Perkins
Let be a monic irreducible polynomial in , the ring of polynomials in the indeterminate over the finite field , and let be…