Determination of algebraic relations among special zeta values in positive characteristic

As an 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 pth power relations.