17 citations · 48 across the 7 of their papers we have counts for
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math.NT2014★ 7 cited
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…
math.NT2014
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…
math.NT2014★ 8 cited
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…