Determination of algebraic relations among special zeta values in positive characteristic
Journal
Advances in Mathematics
Journal Volume
216
Journal Issue
1
Pages
321-345
Date Issued
2007
Author(s)
Abstract
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. © 2007 Elsevier Inc. All rights reserved.
SDGs
Type
journal article