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

Posted in

- Talk [1]

Speaker:

Daniel Loughran
Affiliation:

University of Manchester
Date:

Wed, 2019-01-16 14:30 - 15:30 A classical theorem due independently to Landau and Ramanujan

gives an asymptotic formula for the number of integers which can be

written as a sum of two squares. We prove an analogous result for the

determinant of a matrix using the spectral theory of automorphic forms.

This is a special case of a more general result on a problem of Serre

concerning specialisations of Brauer group elements on semisimple

algebraic groups. This is joint work with Sho Tanimoto and Ramin

Takloo-Bighash.

**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