On Toric Orbits in the Affine Sieve
Number Theory
2022-12-26 v1
Abstract
We give a detailed analysis of a heuristic model for the failure of "saturation" in instances of the Affine Sieve having toral Zariski closure. Based on this model, we formulate precise conjectures on several classical problems of arithmetic interest, and test these against empirical data.
Cite
@article{arxiv.1808.03235,
title = {On Toric Orbits in the Affine Sieve},
author = {Alex Kontorovich and Jeff Lagarias},
journal= {arXiv preprint arXiv:1808.03235},
year = {2022}
}
Comments
20 pages, 6 figures