Almost Prime Coordinates for Anisotropic and Thin Pythagorean Orbits
Number Theory
2014-01-21 v1
Abstract
We make an observation which doubles the exponent of distribution in certain Affine Sieve problems, such as those considered by Liu-Sarnak, Kontorovich, and Kontorovich-Oh. As a consequence, we decrease the known bounds on the saturation numbers in these problems.
Cite
@article{arxiv.1401.4701,
title = {Almost Prime Coordinates for Anisotropic and Thin Pythagorean Orbits},
author = {Jiuzu Hong and Alex Kontorovich},
journal= {arXiv preprint arXiv:1401.4701},
year = {2014}
}
Comments
24 pages