Distribution of angles to lattice points seen from a fast moving observer

Jack Anderson, Florin P. Boca, Cristian Cobeli, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a square expanding with constant speed seen from an observer moving away with constant acceleration and study the distribution of angles between rays from the observer towards the lattice points in the square. We prove the existence of the gap distribution as time tends to infinity and provide explicit formulas for the corresponding density function.

Original languageEnglish (US)
Article number62
JournalResearch in Number Theory
Volume10
Issue number3
DOIs
StatePublished - Sep 2024

Keywords

  • 11B99
  • Exponential sums
  • Gap distribution of angles
  • Lattice points
  • Local spacing statistics
  • Primary 11P21
  • Secondary: 11K99

ASJC Scopus subject areas

  • Algebra and Number Theory

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