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

Posted in

- Talk [1]

Speaker:

Fabian Waibel
Affiliation:

Universität Bonn
Date:

Wed, 2020-02-26 14:30 - 15:30 Let $Q$ and $T$ denote two matrices that represent positive integral quadratic forms. We are investigating the solubility of $X^T Q X = T$ for an integer matrix $X$. Therefore, we consider the Siegel theta series of degree two and derive an asymptotic formula for its Fourier coefficients in the level aspect. This involves computing inner-products of the cuspidal part of theta series and evaluating Fourier coefficients of Eisenstein-Klingen series.

**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/246