Degenerate and character Dedekind sums |
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Authors: | Mehmet Cenkci Mümün Can |
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Institution: | Akdeniz University, Department of Mathematics, 07058 Antalya, Turkey |
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Abstract: | In this paper, we study on two subjects. We first construct degenerate analogues of Dedekind sums in the sense of Apostol, Carlitz and Takács, and prove the corresponding reciprocity formulas. Secondly, we define generalized Dedekind character sums, which are explicit extensions of Berndt's definition, and prove the reciprocity laws. From the derived reciprocity laws, we obtain Berndt's reciprocity laws as special cases. |
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Keywords: | 11F20 11B68 |
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