Asymptotic expansions, $L$ -values and a new Quantum Modular Form

preprint2013arXivOpen access

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 $F(q)$ .

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Asymptotic expansions, $L$ -values and a new Quantum Modular Form

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Asymptotic expansions, LLL-values and a new Quantum Modular Form

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Asymptotic expansions, $L$ -values and a new Quantum Modular Form