A double-sum Kronecker-type identity

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• 作者：Eric T. Mortensonp>ap>p> ; p>p>bp>p> ; p>p>etmortenson@gmail.com" class="auth_mail" title="E-mail the corresponding authorp>
• 关键词：11B65 ; 11F27
• 刊名：Advances in Applied Mathematics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：82
• 期：Complete
• 页码：155-177
• 全文大小：386 K

文摘

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.