Almost Prime Coordinates for Anisotropic and Thin Pythagorean Orbits
arXiv:1401.4701
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.
24 pages