Degenerate and character Dedekind sums

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• 作者：Mehmet Cenkci ; Mü ; mü ; n Can ; Veli Kurt
• 关键词：Dedekind sums ; Bernoulli polynomials
• 刊名：Journal of Number Theory
• 出版年：2007
• 出版时间：June 2007
• 年：2007
• 卷：124
• 期：2
• 页码：346-363
• 全文大小：172 K

文摘

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.