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

Greg W. Anderson·W. Dale Brownawell·Matthew A. Papanikolas
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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 function field Gamma-function are explained by the standard functional equations.

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Greg W. Anderson, W. Dale Brownawell, Matthew A. Papanikolas. 2002-07-19. Determination of the algebraic relations among special Gamma-values in positive characteristic. https://doi.org/10.4007/annals.2004.160.237

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