New trigonometric identities and reciprocity laws of generalized Dedekind sums II

Abstract

We obtain new trigonometric identities, which are product-to-sum type formulas for derivative of the cosecant and cotangent functions. Further, from specializations of our formulas, we derive new reciprocity laws of generalized Dedekind sums.

arXiv commentSince we made up our two paper "New trigonometric identities and reciprocity laws of generalized Dedekind sums" and "II" into one paper, this paper has been withdrawn by the author