17 citations · 48 across the 7 of their papers we have counts for
8 papers
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…
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…
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…
The Legendre determinant form for Drinfeld modules in arbitrary rank
Rudolph Perkins
For each positive integer , we construct a nowhere-vanishing, single-cuspidal Drinfeld modular form for $\GL_r(\FF_q[θ])$, necessarily of least possible weight, via determinants…
On certain generating functions in positive characteristic
Federico Pellarin, Rudolph Perkins
We present new methods for the study of a class of generating functions introduced by the second author which carry some formal similarities with the Hurwitz zeta function. We prov…
An exact degree for multivariate special polynomials
Rudolph Bronson Perkins
We introduce certain special polynomials in an arbitrary number of indeterminates over a finite field. These polynomials generalize the special polynomials associated to the Goss z…
Explicit Formulae for -values in Positive Characteristic
Rudolph Bronson Perkins
We focus on the generating series for the rational special values of Pellarin's -series in indeterminates, and using interpolation polynomials we prove a…
On Pellarin's -series
Rudolph Bronson Perkins
Necessary and sufficient conditions are given for a negative integer to be a trivial zero of a new type of -series recently discovered by F. Pellarin, and it is shown that any s…