Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Steffen Löbrich
Affiliation:

University of Cologne
Date:

Thu, 2017-11-23 12:10 - 12:50 Zagier introduced weight 2k cusp forms f_{k,D} associated to quadratic forms of positive

discriminant D. We determine the Fourier coefficients of analogues of these functions of

weight 2, higher level, and negative discriminant and relate them to traces of singular moduli

of Niebur-Poincaré series. This allows us to compute regularized inner products of these

functions, which in the higher weight case have been related to evaluations of higher

Green's functions at CM-points.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/7600