Abstract
As an analogue to special values at positive integers of the Riemann zeta function, we consider Carlitz zeta values ζ 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. © 2007 Elsevier Inc. All rights reserved.