Determination of the algebraic relations among special Γ-values in positive characteristic
نویسندگان
چکیده
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 Fq[T ] are explained by the standard functional equations.
منابع مشابه
Determination of Algebraic Relations among Special Zeta Values in Positive Characteristic
As analogue to special values at positive integers of the Riemann zeta function, we consider Carlitz zeta values ζC(n) at positive integers n. By constructing t-motives after Papanikolas, we prove that the only algebraic relations among these characteristic p zeta values are those coming from the Euler-Carlitz relations and the Frobenius p-th power relations.
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تاریخ انتشار 2003