Geodesic
Determination of the algebraic relations among special $\Gamma$-values in positive characteristic
Greg W. Anderson1 ; W. Dale Brownawell2 ; Matthew Papanikolas3
1 Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States
2 Department of Mathematics, Pennsylvania State University, University Park, PA 16802, United States
3 Department of Mathematics, Texas A & M University, College Station, TX 77843, United States
Annals of mathematics, Tome 160 (2004) no. 1, pp. 237-313.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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 $\Gamma$-function over $\mathbb{F}_q[T]$ are explained by the standard functional equations.
DOI : 10.4007/annals.2004.160.237

Greg W. Anderson 1 ; W. Dale Brownawell 2 ; Matthew Papanikolas 3

1 Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States
2 Department of Mathematics, Pennsylvania State University, University Park, PA 16802, United States
3 Department of Mathematics, Texas A & M University, College Station, TX 77843, United States 
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Greg W. Anderson; W. Dale Brownawell; Matthew Papanikolas. Determination of the algebraic relations among special $\Gamma$-values in positive characteristic. Annals of mathematics, Tome 160 (2004) no. 1, pp. 237-313. doi : 10.4007/annals.2004.160.237. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.160.237/

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