Abstract
We consider a Dedekind sum \(s(a,c)\) in function fields, defined via the Carlitz module, similar to the classical Dedekind sum \(D(a,c)\). In this paper, we prove an analog of Pommersheim’s three-term reciprocity law for \(s(a,c)\).
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Communicated by J. Schoißengeier.
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Hamahata, Y. Rademacher’s reciprocity law for Dedekind sums in function fields. Monatsh Math 174, 449–458 (2014). https://doi.org/10.1007/s00605-013-0559-1
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DOI: https://doi.org/10.1007/s00605-013-0559-1