Small solutions to linear forms in primes
Number Theory
2025-04-02 v1
Abstract
We show that a positive proportion of linear forms in four variables admit a solution in the primes that is as small as one would heuristically expect. Out of the linear forms that satisfy certain local solvability conditions, almost all admit small prime solutions.
Cite
@article{arxiv.2504.00700,
title = {Small solutions to linear forms in primes},
author = {Tammo Dede},
journal= {arXiv preprint arXiv:2504.00700},
year = {2025}
}
Comments
22 pages