Determination of the algebraic relations among special Γ-values in positive characteristic Academic Article uri icon

abstract

  • We devise a new criterion for linear independence over function fields. Using this tool in the setting of dual t-motives, we find that all algebraic relations among special values of the geometric Γ-function over double-struck F signq[T] are explained by the standard functional equations.

author list (cited authors)

  • Anderson, G., Brownawell, W., & Papanikolas, M.

citation count

  • 41

publication date

  • July 2004