Prime Hasse principles via Diophantine second moments
Number Theory
2025-01-27 v2 Algebraic Geometry
Abstract
We show that almost all primes are sums of three cubes, assuming a conjecture due to Hooley, Manin, et al. on cubic fourfolds. This conjecture is approachable under standard statistical hypotheses on geometric families of -functions.
Cite
@article{arxiv.2304.08674,
title = {Prime Hasse principles via Diophantine second moments},
author = {Victor Y. Wang},
journal= {arXiv preprint arXiv:2304.08674},
year = {2025}
}
Comments
22 pages; accepted version