Distribution of rational points on random Fano hypersurfaces
arXiv:2310.13408
Abstract
We prove an asymptotic formula for the average number of rational points on Fano hypersurfaces that are contained in a small ball centered at a given adelic point. We also prove an asymptotic formula for the number of hypersurfaces admitting adelic points that are contained in a small ball.
arXiv comment81 pages