I am studying about Mock modular forms and Mock theta functions. I wonder how Zwegers connected mock theta functions with Harmonic Maass Forms? I mean, what was the philosophy/idea of Mock Theta function that motivated him to make a connection with the holomorphic projection of weight 1/2 harmonic Maass forms? Any reference or help will be highly appreciated.


In addition to Zagier's excellent Bourbaki seminar I would also recommend some notes by Ken Ono that include both a summary of the history of mock theta functions and mock modular forms and a survey of applications. They are available at http://swc.math.arizona.edu/aws/2013/2013OnoNotes.pdf.

You might also want to take a look at Brunier and Funke, "On Two Geometric Theta Lifts," Duke Math. Journal 125 (2004).

Zwegers is on MO but I don't think he is a regular participant. Perhaps someone who knows him will see this and ask him to describe his motivation to you directly.

  • $\begingroup$ It would be great if Zwegers shares his motivation. Thanks for the reference. $\endgroup$ – Subhajit Jana Aug 5 '13 at 16:04

There is a Zagier's Bourbaki talk "Ramanujan's mock theta functions and their applications" people.mpim-bonn.mpg.de/zagier/files/aster/326/fulltext.pdf . In the article, you can find a comparison between pre-existing quasimodular forms of Kaneko-Zagier and mock modular forms.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.