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

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

2002-07-19

arxiv.org/abs/math/0207168v1

Ann. of Math. (2) 160 (2004), 237-313

Mathematics

Number Theory

62 pages

Scientific paper

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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