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arXiv · 1601.01913

A double-sum Kronecker-type identity

Eric T. Mortenson
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Abstract

We prove a double-sum analog of an identity known to Kronecker and then express it in terms of functions studied by Appell and Kronecker's student Lerch, in so doing we show that the double-sum analog is of mixed mock modular form. We also give related symmetric generalizations.

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Eric T. Mortenson. 2016-01-08. A double-sum Kronecker-type identity. https://doi.org/10.1016/j.aam.2016.08.006

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