Theta operators, Goss polynomials, and v-adic modular forms Academic Article uri icon

abstract

  • © Société Arithmétique de Bordeaux, 2017, tous droits réservés. 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 consequence we prove that v-adic modular forms in the sense of Serre, as defined by Goss and Vincent, are preserved under hyperdifferentiation. Moreover, upon multiplication by a Carlitz factorial, hyperdifferentiation preserves v-integrality.

author list (cited authors)

  • Papanikolas, M., & Zeng, G.

citation count

  • 2

publication date

  • January 2017