Noah Kravitz

activity

20242026

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4 papers · 1 filter

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…

math.CO2024

Reconstructing a set from its subset sums: $2$ -torsion-free groups

Federico Glaudo, Noah Kravitz

For a finite multiset $A$ of an abelian group $G$ , let $FS (A)$ denote the multiset of the $2^{∣ A ∣}$ subset sums of $A$ . It is natural to ask to what extent $A$ can be recons…

math.CO2024

Corners with polynomial side length

Noah Kravitz, Borys Kuca, James Leng

A $P$ -polynomial corner, for $P \in Z [z]$ a polynomial, is a triple of points $(x, y), (x + P (z), y), (x, y + P (z))$ for $x, y, z \in Z$ . In the case where $P$ has an…

math.CO2024

Rearranging small sets for distinct partial sums

Noah Kravitz

A conjecture of Graham (repeated by ErdÅs) asserts that for any set $A \subseteq F_{p} ∖ {0}$ , there is an ordering $a_{1}, \dots, a_{∣ A ∣}$ of the elements of $A$ …

Relative Lonely Runner spectra

Reconstructing a set from its subset sums: 2-torsion-free groups

Corners with polynomial side length

Rearranging small sets for distinct partial sums

Reconstructing a set from its subset sums: $2$ -torsion-free groups