The Mordell integral, quantum modular forms, and mock Jacobi forms
© Chern and Rhoades.; licensee Springer. 2015
Received: 2 October 2014
Accepted: 2 October 2014
Published: 1 July 2015
unifies the mock theta functions, partial (or false) theta functions, and some of Zagier’s quantum modular forms. As an application, we exploit the connections between q-hypergeometric series and mock and partial theta functions to obtain finite evaluations of the Mordell integral for rational choices of τ and z.
Mathematics Subject Classification: 11P55, 05A17