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.
|Original language||English (US)|
|Number of pages||77|
|Journal||Annals of Mathematics|
|State||Published - Jul 2004|