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arxiv: 1401.4701 · v1 · pith:ZIA6F373new · submitted 2014-01-19 · 🧮 math.NT

Almost Prime Coordinates for Anisotropic and Thin Pythagorean Orbits

classification 🧮 math.NT
keywords problemsaffinealmostanisotropicboundscertainconsequenceconsidered
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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.

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