%0 Journal Article
%T Asymptotic expansions, $L$-values and a new Quantum Modular Form
%A Edgar Costa
%A Korneel Debaene
%A Jo£żo Guerreiro
%J Mathematics
%D 2013
%I arXiv
%X 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 $F(q)$.
%U http://arxiv.org/abs/1311.3469v1