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Higher dimensional Dedekind sums in finite fields |
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| Authors: | Abdelmejid Bayad Yoshinori Hamahata |
| Institution: | 1. Département de mathématiques, Université d?Évry Val d?Essonne, Bd. F. Mitterrand, 91025 Évry Cedex, France;2. Faculty of Engineering Science, Kansai University, 3-3-35 Yamate-cho, Suita-shi, Osaka 564-8680, Japan |
| Abstract: | We introduce Dedekind sums of a new type defined over finite fields. These are similar to the higher dimensional Dedekind sums of Zagier. The main result is the reciprocity law for them. |
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