Noah Kravitz

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20242026

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math.NT2025

The distribution of prime values of random polynomials

Noah Kravitz, Katharine Woo, Max Wenqiang Xu

The Bateman--Horn Conjecture predicts how often an irreducible polynomial $f (x) \in Z [x]$ assumes prime values. We demonstrate that with sufficient averaging in the coeffi…

math.NT2024

Relative Lonely Runner spectra

Vanshika Jain, Noah Kravitz

For a subtorus $T \subseteq (R / Z)^{n}$ , let $D (T)$ denote the $L^{\infty}$ -distance from $T$ to the point $(1/2, \dots, 1/2)$ . For a subtorus $U \subseteq (\mathbb{R…