Asymptotic Expansions, L-values and a New Quantum Modular Form
نویسنده
چکیده
In 2010 Zagier introduced the notion of a quantum modular form. One of his first examples was the ”strange” function F (q) of Kontsevich. Here we produce a new example of a quantum modular form by making use of some of Ramanujan’s mock theta functions. Using these functions and their transformation behaviour, we also compute asymptotic expansions similar to expansions of F (q).
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تاریخ انتشار 2013