Noah Kravitz

activity

20242026

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5 papers · 1 filter

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.DS2025

Quantitative pyjama

Noah Kravitz, James Leng

The "pyjama stripe" with parameter $ε > 0$ is the set $E (ε)$ of all complex numbers $z$ such that the distance from $ℜ (z)$ to the nearest integer is at most $\v…

math.CO2025

Statistics of Erdős-Rényi random numerical semigroups

Noah Kravitz, Santiago Morales, Carl Schildkraut

For $p > 0$ a small parameter, let $A \subseteq Z_{> 0}$ be a random subset where each positive integer is included independently with probability $p$ . We show that,…

math.CO2025

The structure of Lonely Runner spectra

Vikram Giri, Noah Kravitz

For each subtorus $T$ of $(R / Z)^{n}$ , let $D (T)$ denote the (infimal) $L^{\infty}$ -distance from $T$ to the point $(1/2, \dots, 1/2)$ . The $n$ -th Lonely Runner spectr…

math.CO2025

Relative sizes of iterated sumsets

Noah Kravitz

Let $h A$ denote the $h$ -fold sumset of a subset $A$ of an abelian group. Resolving a problem of Nathanson, we show that for any prescribed permutations $Ï_1, \ldots, Ï_H \in \mat…