Resumen de Determination of algebraic relations among special zeta values in positive characteristic

Chieh-Yu Chang, Jing Yu

• Abstract As an analogue to special values at positive integers of the Riemann zeta function, we consider Carlitz zeta values ?C(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.