An elliptic analogue of Fukuhara's trigonometeric identities

Genki Shibukawa

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arXiv · 1904.06936

An elliptic analogue of Fukuhara's trigonometeric identities

Genki Shibukawa

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Abstract

We obtain new elliptic function identities, which are an elliptic analogue of Fukuhara's trigonometric identities. We show that the coefficients of Laurent expansions at $z=0$ of our elliptic identities give rise to some reciprocity laws for elliptic Dedekind sums.

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Genki Shibukawa. 2019-04-15. An elliptic analogue of Fukuhara's trigonometeric identities. https://arxiv.org/abs/1904.06936

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