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Degenerate and character Dedekind sums

✍ Scribed by Mehmet Cenkci; Mümün Can; Veli Kurt

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
173 KB
Volume
124
Category
Article
ISSN
0022-314X

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✦ Synopsis

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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