Determination of algebraic relations among special zeta values in positive characteristic |
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Authors: | Chieh-Yu Chang |
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Institution: | Department of Mathematics, National Tsing Hua University and National Center for Theoretical Sciences, Hsinchu City 300, Taiwan, ROC |
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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. |
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Keywords: | primary 11J93 secondary 11M38 11G09 |
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