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arxiv: 1411.3321 · v2 · pith:TCHMOISMnew · submitted 2014-10-18 · 🧮 math.CA · math.NT

New trigonometric identities and reciprocity laws of generalized Dedekind sums II

classification 🧮 math.CA math.NT
keywords dedekindformulasgeneralizedidentitieslawsreciprocitysumstrigonometric
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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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