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math.NT2016
Special L-values and shtuka functions for Drinfeld modules on elliptic curves
Nathan Green, Matthew A. Papanikolas
We make a detailed account of sign-normalized rank 1 Drinfeld A-modules, for A the coordinate ring of an elliptic curve over a finite field, in order to provide a parallel theory t…
math.NT2016
Theta operators, Goss polynomials, and v-adic modular forms
Matthew A. Papanikolas, Guchao Zeng
We investigate hyperderivatives of Drinfeld modular forms and determine formulas for these derivatives in terms of Goss polynomials for the kernel of the Carlitz exponential. As a…