Showing math.NTShow all
2 papers · 1 filter
math.NT2024
Counting integer points on affine surfaces with a side condition
Tim Browning, Matteo Verzobio
We extend work of Heath-Brown and Salberger, based on the determinant method, to provide a uniform upper bound for the number of integral points of bounded height on an affine surf…
math.NT2024
Integral points on cubic surfaces: heuristics and numerics
Tim Browning, Florian Wilsch
We develop a heuristic for the density of integer points on affine cubic surfaces. Our heuristic applies to smooth surfaces defined by cubic polynomials that are log K3, but it can…