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arXiv · 1411.3321

New trigonometric identities and reciprocity laws of generalized Dedekind sums II

Genki Shibukawa
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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.

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Genki Shibukawa. 2015-07-26. New trigonometric identities and reciprocity laws of generalized Dedekind sums II. https://arxiv.org/abs/1411.3321

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