Determination of Algebraic Relations among Special Zeta Values in Positive Characteristic

نویسندگان

  • CHIEH-YU CHANG
  • JING YU
چکیده

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 2007