Generalized Dedekind sums and transformation formulae in function fields

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• 作者：Yoshinori Hamahata ^{hamahata@xmath.ous.ac.jp}
• 关键词：primary ; 11F20 ; secondary ; 11R58 ; 11G09
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：173
• 期：Complete
• 页码：272-292
• 全文大小：366 K
• 卷排序：173

文摘

Our previous research involving the use of the Dedekind sum defined by Bayad and the author enabled us to establish the transformation formula for a certain series in function fields. In this work we use periodic functions to introduce the generalized Dedekind sums in function fields to describe transformation formulae for a family of certain series.