Determination of the algebraic relations among special Γ-values in positive characteristic

Greg W. Anderson, W. Dale Brownawell, Matthew A. Papanikolas

Research output: Contribution to journalArticlepeer-review

55 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)237-313
Number of pages77
JournalAnnals of Mathematics
Volume160
Issue number1
DOIs
StatePublished - Jul 2004

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