$6$-torsion and integral points on quartic threefolds
Number Theory
2024-10-08 v2
Abstract
We prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine quartic threefold.
Cite
@article{arxiv.2403.13359,
title = {$6$-torsion and integral points on quartic threefolds},
author = {Stephanie Chan and Peter Koymans and Carlo Pagano and Efthymios Sofos},
journal= {arXiv preprint arXiv:2403.13359},
year = {2024}
}