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arXiv · 1808.03235

On Toric Orbits in the Affine Sieve

Alex Kontorovich·Jeff Lagarias
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Abstract

We give a detailed analysis of a heuristic model for the failure of "saturation" in instances of the Affine Sieve having toral Zariski closure. Based on this model, we formulate precise conjectures on several classical problems of arithmetic interest, and test these against empirical data.

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Alex Kontorovich, Jeff Lagarias. 2018-08-09. On Toric Orbits in the Affine Sieve. https://doi.org/10.1080/10586458.2019.1616337

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