On Quadratic Forms Representing IntegersMPIM

by Rachita Guria (MPIM)

Wednesday Nov 19, 2025, 4:30 PM → 5:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Seminar Room (Max Planck Institute for Mathematics)

Number theory lunch seminar 

I will talk about the counting problem in which we count the number of integer solutions $\mathbf{x} = (x_1, \dots, x_n) \in \mathbb{Z}^n$ to the Diophantine equation $F(\mathbf{x}) = m$, where $F$ is a fixed non-singular quadratic form in $n \geq 4$ variables with integer coefficients, and $m \neq 0$.