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

abstract

  • Socit Arithmtique de Bordeaux, 2017, tous droits rservs. 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.

published proceedings

  • JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX

author list (cited authors)

  • Papanikolas, M. A., & Zeng, G.

citation count

  • 3

complete list of authors

  • Papanikolas, Matthew A||Zeng, Guchao

publication date

  • January 2017