An elliptic analogue of Fukuhara's trigonometeric identities
classification
🧮 math.NT
keywords
ellipticidentitiesanaloguefukuharacoefficientsdedekindexpansionsfunction
read the original 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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