Shvo Regavim

collaborators

3 papers

math.NT2021

Additive energy, discrepancy and Poissonian $k$ -level correlation

Guy Lachman, Shvo Regavim

$k$ -level correlation is a local statistic of sequences modulo 1, describing the local spacings of $k$ -tuples of elements. For $k = 2$ this is also known as pair correlation. We sh…

math.NT2021

Minimal Gaps and Additive Energy in real-valued sequences

Shvo Regavim

We study the minimal gap statistic for sequences of the form $(α x_{n})_{n = 1}^{\infty}$ where $(x_{n})_{n = 1}^{\infty}$ is a sequence of real numbers, and i…

math.MG2021

Minkowski bases, Korkin-Zolotarev bases and successive minima

Shvo Regavim

Let $λ_{k}$ denote the $k$ -th successive minimum of a lattice $L$ . We study properties of the lengths of certain bases of $L$ . If $v_{1}, \dots v_{n}$ is a basis which is reduced in the…

Additive energy, discrepancy and Poissonian k-level correlation

Minimal Gaps and Additive Energy in real-valued sequences

Minkowski bases, Korkin-Zolotarev bases and successive minima

Additive energy, discrepancy and Poissonian $k$ -level correlation