Lena Wurzinger

collaborators

2 papers

math.NT2026

Improved bounds in Birch's theorem for forms in many variables

Yijie Diao, Lena Wurzinger

We improve the best known result on the number of variables needed for the smooth Hasse principle for homogeneous forms of degree $d\geq5$.

math.NT2026

The divisor function for matrices

Tim Browning, Nikita P. Kalinin, Alina Ostafe +2

We introduce a matrix divisor function $τ_{n} (T, M)$ , counting factorisations $A B = M$ for $n \times n$ integer matrices $A, B$ of height at most $T$ . For a fixed non-singular $M$ , or for…