Multiple Dedekind-Rademacher sums in finite fields

作者：Bayad Abdelmejid; Hamahata Yoshinori^*

来源：Ramanujan Journal, 2014, 35(3): 493-502.

DOI：10.1007/s11139-013-9527-6

• Dedekind sums
• Cotangent sums
• Higher-dimensional Dedekind sums
• Finite fields

In this paper, we introduce multiple Dedekind-Rademacher sums in finite fields and establish the reciprocity law. Our Dedekind-Rademacher sums generalize the higher-dimensional Dedekind sums introduced in our previous paper (Bayad and Hamahata in Finite Fields Appl. 18:19-25, 2012).

• 出版日期2014-12