Asymptotic expansions, L-values and a new quantum modular form

作者：Costa Edgar; Debaene Korneel^*; Guerreiro Joao

来源：Ramanujan Journal, 2014, 35(1): 141-148.

DOI：10.1007/s11139-013-9508-9

• Mock theta function
• Quantum modular form

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).

• 出版日期2014-10