Skip to main content

On the representation of binary quadratic forms by quadratic forms

Posted in
Speaker: 
Fabian Waibel
Affiliation: 
Universität Bonn
Date: 
Wed, 2020-02-26 14:30 - 15:30
Location: 
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

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.
 

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A