Work

Poissonian pair correlation for higher dimensional real sequences

Year: 2024

Type: article

Abstract: In this article, we examine the Poissonian pair correlation (PPC) statistic for higher dimensional real sequences. Specifically, we demonstrate that for , almost all , the sequence in has PPC conditionally on the additive energy bound of . This bound is more relaxed compared to the additive energy bound for one dimension as discussed in [Aistleitner, El‐Baz, and Munsch, Geom. Funct. Anal. 31 (2021), 483–512]. More generally, we derive the PPC for for almost all . As a consequence we establish the metric PPC for provided that all of the are greater than two.

Source: Mathematika

DOI: 10.1112/mtk.12283

Authors: Tanmoy Bera, Mithun Kumar Das, Anirban Mukhopadhyay

Institutions: Homi Bhabha National Institute, Institute of Mathematical Sciences, The Abdus Salam International Centre for Theoretical Physics (ICTP), National Institute of Science Education and Research

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

OpenAlex ID: W4402863399

FWCI:

Cites: 19

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Related to: 10