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On the representation of binary quadratic forms by quadratic forms

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Fabian Waibel
Universität Bonn
Mit, 2020-02-26 14:30 - 15:30
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.

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